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Simplifying -36m3 + -212m2 + -160m = 0 Reorder the terms: -160m + -212m2 + -36m3 = 0 Solving -160m + -212m2 + -36m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '-4m'. -4m(40 + 53m + 9m2) = 0 Factor a trinomial. -4m((5 + m)(8 + 9m)) = 0 Ignore the factor -4.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 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 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 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Subproblem 3
Set the factor '(8 + 9m)' equal to zero and attempt to solve: Simplifying 8 + 9m = 0 Solving 8 + 9m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9m = 0 + -8 9m = 0 + -8 Combine like terms: 0 + -8 = -8 9m = -8 Divide each side by '9'. m = -0.8888888889 Simplifying m = -0.8888888889Solution
m = {0, -5, -0.8888888889}
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