# Solve Using the Square Root Property (m-1)(3m+7)=3(m+5)-12

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 .
Subtract from .
Simplify .
Simplify each term.
Apply the distributive property.
Multiply by .
Subtract from .
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
Subtract from .
Move to the left side of the equation by subtracting it from both sides.
Subtract from .
Factor by grouping.
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Multiply by .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
Set the first factor equal to .
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Set the next factor equal to and solve.
Set the next factor equal to .
Subtract from both sides of the equation.
The final solution is all the values that make true.
Solve Using the Square Root Property (m-1)(3m+7)=3(m+5)-12

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