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Simplifying 3m2 + -31m = -56 Reorder the terms: -31m + 3m2 = -56 Solving -31m + 3m2 = -56 Solving for variable 'm'. Reorder the terms: 56 + -31m + 3m2 = -56 + 56 Combine like terms: -56 + 56 = 0 56 + -31m + 3m2 = 0 Factor a trinomial. (7 + -3m)(8 + -1m) = 0Subproblem 1
Set the factor '(7 + -3m)' equal to zero and attempt to solve: Simplifying 7 + -3m = 0 Solving 7 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = 0 + -7 -3m = 0 + -7 Combine like terms: 0 + -7 = -7 -3m = -7 Divide each side by '-3'. m = 2.333333333 Simplifying m = 2.333333333Subproblem 2
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 = 8Solution
m = {2.333333333, 8}
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