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Simplifying 5m2 = -17m + 12 Reorder the terms: 5m2 = 12 + -17m Solving 5m2 = 12 + -17m Solving for variable 'm'. Reorder the terms: -12 + 17m + 5m2 = 12 + -17m + -12 + 17m Reorder the terms: -12 + 17m + 5m2 = 12 + -12 + -17m + 17m Combine like terms: 12 + -12 = 0 -12 + 17m + 5m2 = 0 + -17m + 17m -12 + 17m + 5m2 = -17m + 17m Combine like terms: -17m + 17m = 0 -12 + 17m + 5m2 = 0 Factor a trinomial. (-4 + -1m)(3 + -5m) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(3 + -5m)' equal to zero and attempt to solve: Simplifying 3 + -5m = 0 Solving 3 + -5m = 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 + -5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5m = 0 + -3 -5m = 0 + -3 Combine like terms: 0 + -3 = -3 -5m = -3 Divide each side by '-5'. m = 0.6 Simplifying m = 0.6Solution
m = {-4, 0.6}
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