Solve in Terms of the Arbitrary Variable x ((5-3i)(x+iy))/(4-5i)=(2+i)^2-(3-4i)^2

Math
Multiply both sides of the equation by .
Simplify .
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
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Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Multiply by .
Simplify .
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Simplify terms.
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Simplify each term.
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Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Move to the left of .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Subtract from .
Add and .
Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Multiply by .
Multiply by .
Multiply .
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Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Multiply by .
Subtract from .
Subtract from .
Apply the distributive property.
Multiply by .
Multiply by .
Simplify by adding terms.
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Add and .
Add and .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Multiply by .
Multiply by .
Multiply .
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Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Multiply by .
Add and .
Add and .
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Add to both sides of the equation.
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify .
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Simplify terms.
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Simplify each term.
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Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Multiply.
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Combine.
Simplify the numerator.
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Apply the distributive property.
Multiply by .
Multiply by .
Simplify the denominator.
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Add and .
Add and .
Simplify each term.
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Rewrite as .
Multiply by .
Add and .
Cancel the common factor of and .
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Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Split the fraction into two fractions.
Move the negative in front of the fraction.
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Multiply.
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Combine.
Simplify the numerator.
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Apply the distributive property.
Multiply by .
Multiply .
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Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Simplify each term.
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Rewrite as .
Multiply by .
Reorder and .
Simplify the denominator.
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Add and .
Add and .
Simplify each term.
Tap for more steps…
Rewrite as .
Multiply by .
Add and .
Cancel the common factor of and .
Tap for more steps…
Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Split the fraction into two fractions.
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Multiply.
Tap for more steps…
Combine.
Simplify the numerator.
Tap for more steps…
Apply the distributive property.
Multiply by .
Multiply by .
Simplify the denominator.
Tap for more steps…
Expand using the FOIL Method.
Tap for more steps…
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify.
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Add and .
Add and .
Simplify each term.
Tap for more steps…
Rewrite as .
Multiply by .
Add and .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Multiply.
Tap for more steps…
Combine.
Simplify the numerator.
Tap for more steps…
Apply the distributive property.
Multiply by .
Multiply .
Tap for more steps…
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Simplify each term.
Tap for more steps…
Rewrite as .
Multiply by .
Simplify the denominator.
Tap for more steps…
Expand using the FOIL Method.
Tap for more steps…
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify.
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Add and .
Add and .
Simplify each term.
Tap for more steps…
Rewrite as .
Multiply by .
Add and .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Combine fractions with similar denominators.
Simplify the numerator.
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Add and .
Add and .
Cancel the common factor of and .
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Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
To write as a fraction with a common denominator, multiply by .
Simplify terms.
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Combine and .
Combine the numerators over the common denominator.
Multiply by .
Simplify the numerator.
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Apply the distributive property.
Multiply by .
Multiply by .
Factor out of .
Tap for more steps…
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
To write as a fraction with a common denominator, multiply by .
Simplify terms.
Tap for more steps…
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Apply the distributive property.
Simplify.
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Reorder terms.
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Apply the distributive property.
Multiply by .
Multiply by .
Add and .
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Move .
Add and .
Add and .
Add and .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Solve in Terms of the Arbitrary Variable x ((5-3i)(x+iy))/(4-5i)=(2+i)^2-(3-4i)^2

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