(m+8)(2m-7)=0

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Solution for (m+8)(2m-7)=0 equation: 


Simplifying
(m + 8)(2m + -7) = 0

Reorder the terms:
(8 + m)(2m + -7) = 0

Reorder the terms:
(8 + m)(-7 + 2m) = 0

Multiply (8 + m) * (-7 + 2m)
(8(-7 + 2m) + m(-7 + 2m)) = 0
((-7 * 8 + 2m * 8) + m(-7 + 2m)) = 0
((-56 + 16m) + m(-7 + 2m)) = 0
(-56 + 16m + (-7 * m + 2m * m)) = 0
(-56 + 16m + (-7m + 2m2)) = 0

Combine like terms: 16m + -7m = 9m
(-56 + 9m + 2m2) = 0

Solving
-56 + 9m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-8 + -1m)(7 + -2m) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -2m)' equal to zero and attempt to solve:

Simplifying
7 + -2m = 0

Solving
7 + -2m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2m = 0 + -7
-2m = 0 + -7

Combine like terms: 0 + -7 = -7
-2m = -7

Divide each side by '-2'.
m = 3.5

Simplifying
m = 3.5
Solution
m = {-8, 3.5}

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