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Simplifying 24m3 + -14m2 + -24m = 0 Reorder the terms: -24m + -14m2 + 24m3 = 0 Solving -24m + -14m2 + 24m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(-12 + -7m + 12m2) = 0 Factor a trinomial. 2m((-3 + -4m)(4 + -3m)) = 0 Ignore the factor 2.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 '(-3 + -4m)' equal to zero and attempt to solve: Simplifying -3 + -4m = 0 Solving -3 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4m = 0 + 3 -4m = 0 + 3 Combine like terms: 0 + 3 = 3 -4m = 3 Divide each side by '-4'. m = -0.75 Simplifying m = -0.75Subproblem 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, -0.75, 1.333333333}
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