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Simplifying 5m2 + -14m + -56 = -8 Reorder the terms: -56 + -14m + 5m2 = -8 Solving -56 + -14m + 5m2 = -8 Solving for variable 'm'. Reorder the terms: -56 + 8 + -14m + 5m2 = -8 + 8 Combine like terms: -56 + 8 = -48 -48 + -14m + 5m2 = -8 + 8 Combine like terms: -8 + 8 = 0 -48 + -14m + 5m2 = 0 Factor a trinomial. (-2 + -1m)(24 + -5m) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(24 + -5m)' equal to zero and attempt to solve: Simplifying 24 + -5m = 0 Solving 24 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -5m = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -5m = 0 + -24 -5m = 0 + -24 Combine like terms: 0 + -24 = -24 -5m = -24 Divide each side by '-5'. m = 4.8 Simplifying m = 4.8Solution
m = {-2, 4.8}
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