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Simplifying -1(13m2 + 6m3) + -1(-5m) = 0 (13m2 * -1 + 6m3 * -1) + -1(-5m) = 0 (-13m2 + -6m3) + -1(-5m) = 0 Remove parenthesis around (-5m) -13m2 + -6m3 + -1 * -5m = 0 Multiply -1 * -5 -13m2 + -6m3 + 5m = 0 Reorder the terms: 5m + -13m2 + -6m3 = 0 Solving 5m + -13m2 + -6m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(5 + -13m + -6m2) = 0 Factor a trinomial. m((1 + -3m)(5 + 2m)) = 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 '(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 = 0.3333333333Subproblem 3
Set the factor '(5 + 2m)' equal to zero and attempt to solve: Simplifying 5 + 2m = 0 Solving 5 + 2m = 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 + 2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2m = 0 + -5 2m = 0 + -5 Combine like terms: 0 + -5 = -5 2m = -5 Divide each side by '2'. m = -2.5 Simplifying m = -2.5Solution
m = {0, 0.3333333333, -2.5}
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