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Simplifying 3m3 + 5m2 + -8m = 0 Reorder the terms: -8m + 5m2 + 3m3 = 0 Solving -8m + 5m2 + 3m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-8 + 5m + 3m2) = 0 Factor a trinomial. m((-8 + -3m)(1 + -1m)) = 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 '(-8 + -3m)' equal to zero and attempt to solve: Simplifying -8 + -3m = 0 Solving -8 + -3m = 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 + -3m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3m = 0 + 8 -3m = 0 + 8 Combine like terms: 0 + 8 = 8 -3m = 8 Divide each side by '-3'. m = -2.666666667 Simplifying m = -2.666666667Subproblem 3
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 = 1Solution
m = {0, -2.666666667, 1}
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