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Simplifying 3m2 + 6m + -12m2 + 9m = 0 Reorder the terms: 6m + 9m + 3m2 + -12m2 = 0 Combine like terms: 6m + 9m = 15m 15m + 3m2 + -12m2 = 0 Combine like terms: 3m2 + -12m2 = -9m2 15m + -9m2 = 0 Solving 15m + -9m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(5 + -3m) = 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 + -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, 1.666666667}
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