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Simplifying 3m3 + -6m2n + -24n2m = 0 Reorder the terms: -24mn2 + -6m2n + 3m3 = 0 Solving -24mn2 + -6m2n + 3m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(-8n2 + -2mn + m2) = 0 Factor a trinomial. 3m((-2n + -1m)(4n + -1m)) = 0 Ignore the factor 3.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 '(-2n + -1m)' equal to zero and attempt to solve: Simplifying -2n + -1m = 0 Reorder the terms: -1m + -2n = 0 Solving -1m + -2n = 0 Move all terms containing m to the left, all other terms to the right. Add '2n' to each side of the equation. -1m + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 -1m + 0 = 0 + 2n -1m = 0 + 2n Remove the zero: -1m = 2n Divide each side by '-1'. m = -2n Simplifying m = -2nSubproblem 3
Set the factor '(4n + -1m)' equal to zero and attempt to solve: Simplifying 4n + -1m = 0 Reorder the terms: -1m + 4n = 0 Solving -1m + 4n = 0 Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. -1m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 -1m + 0 = 0 + -4n -1m = 0 + -4n Remove the zero: -1m = -4n Divide each side by '-1'. m = 4n Simplifying m = 4nSolution
m = {0, -2n, 4n}
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