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Simplifying 15m2 = 13m + 20 Reorder the terms: 15m2 = 20 + 13m Solving 15m2 = 20 + 13m Solving for variable 'm'. Reorder the terms: -20 + -13m + 15m2 = 20 + 13m + -20 + -13m Reorder the terms: -20 + -13m + 15m2 = 20 + -20 + 13m + -13m Combine like terms: 20 + -20 = 0 -20 + -13m + 15m2 = 0 + 13m + -13m -20 + -13m + 15m2 = 13m + -13m Combine like terms: 13m + -13m = 0 -20 + -13m + 15m2 = 0 Factor a trinomial. (-4 + -5m)(5 + -3m) = 0Subproblem 1
Set the factor '(-4 + -5m)' equal to zero and attempt to solve: Simplifying -4 + -5m = 0 Solving -4 + -5m = 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 + -5m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5m = 0 + 4 -5m = 0 + 4 Combine like terms: 0 + 4 = 4 -5m = 4 Divide each side by '-5'. m = -0.8 Simplifying m = -0.8Subproblem 2
Set the factor '(5 + -3m)' equal to zero and attempt to solve: Simplifying 5 + -3m = 0 Solving 5 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = 0 + -5 -3m = 0 + -5 Combine like terms: 0 + -5 = -5 -3m = -5 Divide each side by '-3'. m = 1.666666667 Simplifying m = 1.666666667Solution
m = {-0.8, 1.666666667}
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