Solve Using the Quadratic Formula (m+2)(3m+10)=3(m+5)+15

Math
Move all terms to the left side of the equation and simplify.
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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 and combine like terms.
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Simplify each term.
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Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Move .
Multiply by .
Move to the left of .
Multiply by .
Multiply by .
Add and .
Simplify .
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Simplify each term.
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Apply the distributive property.
Multiply by .
Add and .
Move all the expressions to the left side of the equation.
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Subtract from both sides of the equation.
Subtract from both sides of the equation.
Simplify .
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Subtract from .
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 .
Add and .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Multiply by .
The final answer is the combination of both solutions.
Solve Using the Quadratic Formula (m+2)(3m+10)=3(m+5)+15

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