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

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


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

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

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

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

Combine like terms: 8m + -2m = 6m
(-16 + 6m + m2) = 0

Solving
-16 + 6m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-8 + -1m)(2 + -1m) = 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 '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-8, 2}

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