Simplify .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Move .

Multiply by .

Move to the left of .

Multiply by .

Multiply by .

Add and .

Simplify .

Simplify each term.

Apply the distributive property.

Multiply by .

Add and .

Move all the expressions to the left side of the equation.

Subtract from both sides of the equation.

Subtract from both sides of the equation.

Simplify .

Subtract from .

Subtract from .

Use the quadratic formula to find the solutions.

Substitute the values , , and into the quadratic formula and solve for .

Simplify the numerator.

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