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Simplifying m2 + 12m + -68 = -4 Reorder the terms: -68 + 12m + m2 = -4 Solving -68 + 12m + m2 = -4 Solving for variable 'm'. Reorder the terms: -68 + 4 + 12m + m2 = -4 + 4 Combine like terms: -68 + 4 = -64 -64 + 12m + m2 = -4 + 4 Combine like terms: -4 + 4 = 0 -64 + 12m + m2 = 0 Factor a trinomial. (-16 + -1m)(4 + -1m) = 0Subproblem 1
Set the factor '(-16 + -1m)' equal to zero and attempt to solve: Simplifying -16 + -1m = 0 Solving -16 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1m = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1m = 0 + 16 -1m = 0 + 16 Combine like terms: 0 + 16 = 16 -1m = 16 Divide each side by '-1'. m = -16 Simplifying m = -16Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-16, 4}
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