m^2-12m-108=0

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Solution for m^2-12m-108=0 equation:


Simplifying
m2 + -12m + -108 = 0

Reorder the terms:
-108 + -12m + m2 = 0

Solving
-108 + -12m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-6 + -1m)(18 + -1m) = 0

Subproblem 1

Set the factor '(-6 + -1m)' equal to zero and attempt to solve: Simplifying -6 + -1m = 0 Solving -6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1m = 0 + 6 -1m = 0 + 6 Combine like terms: 0 + 6 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6

Subproblem 2

Set the factor '(18 + -1m)' equal to zero and attempt to solve: Simplifying 18 + -1m = 0 Solving 18 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1m = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1m = 0 + -18 -1m = 0 + -18 Combine like terms: 0 + -18 = -18 -1m = -18 Divide each side by '-1'. m = 18 Simplifying m = 18

Solution

m = {-6, 18}

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