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Simplifying m2 + -5m + -108 = -4 Reorder the terms: -108 + -5m + m2 = -4 Solving -108 + -5m + m2 = -4 Solving for variable 'm'. Reorder the terms: -108 + 4 + -5m + m2 = -4 + 4 Combine like terms: -108 + 4 = -104 -104 + -5m + m2 = -4 + 4 Combine like terms: -4 + 4 = 0 -104 + -5m + m2 = 0 Factor a trinomial. (-8 + -1m)(13 + -1m) = 0Subproblem 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 = -8Subproblem 2
Set the factor '(13 + -1m)' equal to zero and attempt to solve: Simplifying 13 + -1m = 0 Solving 13 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1m = 0 + -13 -1m = 0 + -13 Combine like terms: 0 + -13 = -13 -1m = -13 Divide each side by '-1'. m = 13 Simplifying m = 13Solution
m = {-8, 13}
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