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Simplifying 13m + 26m2 + -39m3 = 0 Solving 13m + 26m2 + -39m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '13m'. 13m(1 + 2m + -3m2) = 0 Factor a trinomial. 13m((1 + -1m)(1 + 3m)) = 0 Ignore the factor 13.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 '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Subproblem 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, -0.3333333333}
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