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Simplifying 6m3 + -5m2 + -4m = 0 Reorder the terms: -4m + -5m2 + 6m3 = 0 Solving -4m + -5m2 + 6m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-4 + -5m + 6m2) = 0 Factor a trinomial. m((-1 + -2m)(4 + -3m)) = 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 '(-1 + -2m)' equal to zero and attempt to solve: Simplifying -1 + -2m = 0 Solving -1 + -2m = 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 + -2m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2m = 0 + 1 -2m = 0 + 1 Combine like terms: 0 + 1 = 1 -2m = 1 Divide each side by '-2'. m = -0.5 Simplifying m = -0.5Subproblem 3
Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 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 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333Solution
m = {0, -0.5, 1.333333333}
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