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Simplifying 5m3 = 8m + -18m2 Solving 5m3 = 8m + -18m2 Solving for variable 'm'. Reorder the terms: -8m + 18m2 + 5m3 = 8m + -18m2 + -8m + 18m2 Reorder the terms: -8m + 18m2 + 5m3 = 8m + -8m + -18m2 + 18m2 Combine like terms: 8m + -8m = 0 -8m + 18m2 + 5m3 = 0 + -18m2 + 18m2 -8m + 18m2 + 5m3 = -18m2 + 18m2 Combine like terms: -18m2 + 18m2 = 0 -8m + 18m2 + 5m3 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-8 + 18m + 5m2) = 0 Factor a trinomial. m((-4 + -1m)(2 + -5m)) = 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 '(-4 + -1m)' equal to zero and attempt to solve: Simplifying -4 + -1m = 0 Solving -4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1m = 0 + 4 -1m = 0 + 4 Combine like terms: 0 + 4 = 4 -1m = 4 Divide each side by '-1'. m = -4 Simplifying m = -4Subproblem 3
Set the factor '(2 + -5m)' equal to zero and attempt to solve: Simplifying 2 + -5m = 0 Solving 2 + -5m = 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 + -5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5m = 0 + -2 -5m = 0 + -2 Combine like terms: 0 + -2 = -2 -5m = -2 Divide each side by '-5'. m = 0.4 Simplifying m = 0.4Solution
m = {0, -4, 0.4}
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