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Simplifying 15m3 + 13m2 + -6m = 0 Reorder the terms: -6m + 13m2 + 15m3 = 0 Solving -6m + 13m2 + 15m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-6 + 13m + 15m2) = 0 Factor a trinomial. m((-6 + -5m)(1 + -3m)) = 0Subproblem 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 '(-6 + -5m)' equal to zero and attempt to solve: Simplifying -6 + -5m = 0 Solving -6 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5m = 0 + 6 -5m = 0 + 6 Combine like terms: 0 + 6 = 6 -5m = 6 Divide each side by '-5'. m = -1.2 Simplifying m = -1.2Subproblem 3
Set the factor '(1 + -3m)' equal to zero and attempt to solve: Simplifying 1 + -3m = 0 Solving 1 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m = 0 + -1 -3m = 0 + -1 Combine like terms: 0 + -1 = -1 -3m = -1 Divide each side by '-3'. m = 0.3333333333 Simplifying m = 0.3333333333Solution
m = {0, -1.2, 0.3333333333}
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