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Simplifying -1m2 + 5m = 24 + -2m2 Reorder the terms: 5m + -1m2 = 24 + -2m2 Solving 5m + -1m2 = 24 + -2m2 Solving for variable 'm'. Reorder the terms: -24 + 5m + -1m2 + 2m2 = 24 + -2m2 + -24 + 2m2 Combine like terms: -1m2 + 2m2 = 1m2 -24 + 5m + 1m2 = 24 + -2m2 + -24 + 2m2 Reorder the terms: -24 + 5m + 1m2 = 24 + -24 + -2m2 + 2m2 Combine like terms: 24 + -24 = 0 -24 + 5m + 1m2 = 0 + -2m2 + 2m2 -24 + 5m + 1m2 = -2m2 + 2m2 Combine like terms: -2m2 + 2m2 = 0 -24 + 5m + 1m2 = 0 Factor a trinomial. (-8 + -1m)(3 + -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 '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {-8, 3}
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