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Simplifying -18m3 + 9m2 + 2m = 0 Reorder the terms: 2m + 9m2 + -18m3 = 0 Solving 2m + 9m2 + -18m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(2 + 9m + -18m2) = 0 Factor a trinomial. m((2 + -3m)(1 + 6m)) = 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 '(2 + -3m)' equal to zero and attempt to solve: Simplifying 2 + -3m = 0 Solving 2 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 0 + -2 -3m = 0 + -2 Combine like terms: 0 + -2 = -2 -3m = -2 Divide each side by '-3'. m = 0.6666666667 Simplifying m = 0.6666666667Subproblem 3
Set the factor '(1 + 6m)' equal to zero and attempt to solve: Simplifying 1 + 6m = 0 Solving 1 + 6m = 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 + 6m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6m = 0 + -1 6m = 0 + -1 Combine like terms: 0 + -1 = -1 6m = -1 Divide each side by '6'. m = -0.1666666667 Simplifying m = -0.1666666667Solution
m = {0, 0.6666666667, -0.1666666667}
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