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

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


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

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

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

Multiply (-2 + M) * (8 + M)
(-2(8 + M) + M(8 + M)) = 0
((8 * -2 + M * -2) + M(8 + M)) = 0
((-16 + -2M) + M(8 + M)) = 0
(-16 + -2M + (8 * M + M * M)) = 0
(-16 + -2M + (8M + M2)) = 0

Combine like terms: -2M + 8M = 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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