Solve for x square root of x^2-10x+25+12 square root of x=15 square root of x

Math
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from .
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
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Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify.
Apply the product rule to .
Raise to the power of .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify.
Solve for .
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Move all terms containing to the left side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
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Simplify the numerator.
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Raise to the power of .
Multiply by .
Multiply by .
Subtract from .
Rewrite as .
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Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
The final answer is the combination of both solutions.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for x square root of x^2-10x+25+12 square root of x=15 square root of x

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