Solve Using the Square Root Property (m-4)(3m-10)=3(m-2)+18

Math
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 .
Subtract from .
Simplify .
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Simplify each term.
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Apply the distributive property.
Multiply by .
Add and .
Move all terms containing to the left side of the equation.
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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.
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For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
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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.
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Set the first factor equal to .
Add to both sides of the equation.
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 .
Set the next factor equal to and solve.
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Set the next factor equal to .
Add to both sides of the equation.
The final solution is all the values that make true.
Solve Using the Square Root Property (m-4)(3m-10)=3(m-2)+18

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