2(m+5)(m-8)=

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Solution for 2(m+5)(m-8)= equation: 


Simplifying
2(m + 5)(m + -8) = 0

Reorder the terms:
2(5 + m)(m + -8) = 0

Reorder the terms:
2(5 + m)(-8 + m) = 0

Multiply (5 + m) * (-8 + m)
2(5(-8 + m) + m(-8 + m)) = 0
2((-8 * 5 + m * 5) + m(-8 + m)) = 0
2((-40 + 5m) + m(-8 + m)) = 0
2(-40 + 5m + (-8 * m + m * m)) = 0
2(-40 + 5m + (-8m + m2)) = 0

Combine like terms: 5m + -8m = -3m
2(-40 + -3m + m2) = 0
(-40 * 2 + -3m * 2 + m2 * 2) = 0
(-80 + -6m + 2m2) = 0

Solving
-80 + -6m + 2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-40 + -3m + m2) = 0

Factor a trinomial.
2((-5 + -1m)(8 + -1m)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve:

Simplifying
-5 + -1m = 0

Solving
-5 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1m = 0 + 5
-1m = 0 + 5

Combine like terms: 0 + 5 = 5
-1m = 5

Divide each side by '-1'.
m = -5

Simplifying
m = -5

Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve:

Simplifying
8 + -1m = 0

Solving
8 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 0 + -8
-1m = 0 + -8

Combine like terms: 0 + -8 = -8
-1m = -8

Divide each side by '-1'.
m = 8

Simplifying
m = 8
Solution
m = {-5, 8}

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