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Simplifying 0 = 3m(4m + 5) Reorder the terms: 0 = 3m(5 + 4m) 0 = (5 * 3m + 4m * 3m) 0 = (15m + 12m2) Solving 0 = 15m + 12m2 Solving for variable 'm'. Remove the zero: -15m + -12m2 = 15m + 12m2 + -15m + -12m2 Reorder the terms: -15m + -12m2 = 15m + -15m + 12m2 + -12m2 Combine like terms: 15m + -15m = 0 -15m + -12m2 = 0 + 12m2 + -12m2 -15m + -12m2 = 12m2 + -12m2 Combine like terms: 12m2 + -12m2 = 0 -15m + -12m2 = 0 Factor out the Greatest Common Factor (GCF), '-3m'. -3m(5 + 4m) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(5 + 4m)' equal to zero and attempt to solve: Simplifying 5 + 4m = 0 Solving 5 + 4m = 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 + 4m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4m = 0 + -5 4m = 0 + -5 Combine like terms: 0 + -5 = -5 4m = -5 Divide each side by '4'. m = -1.25 Simplifying m = -1.25Solution
m = {0, -1.25}
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