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Simplifying 15m2 + -16m + -48 = 0 Reorder the terms: -48 + -16m + 15m2 = 0 Solving -48 + -16m + 15m2 = 0 Solving for variable 'm'. Factor a trinomial. (-4 + -3m)(12 + -5m) = 0Subproblem 1
Set the factor '(-4 + -3m)' equal to zero and attempt to solve: Simplifying -4 + -3m = 0 Solving -4 + -3m = 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 + -3m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3m = 0 + 4 -3m = 0 + 4 Combine like terms: 0 + 4 = 4 -3m = 4 Divide each side by '-3'. m = -1.333333333 Simplifying m = -1.333333333Subproblem 2
Set the factor '(12 + -5m)' equal to zero and attempt to solve: Simplifying 12 + -5m = 0 Solving 12 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5m = 0 + -12 -5m = 0 + -12 Combine like terms: 0 + -12 = -12 -5m = -12 Divide each side by '-5'. m = 2.4 Simplifying m = 2.4Solution
m = {-1.333333333, 2.4}
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