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Simplifying 4m3 + 36m = 24m2 Reorder the terms: 36m + 4m3 = 24m2 Solving 36m + 4m3 = 24m2 Solving for variable 'm'. Reorder the terms: 36m + -24m2 + 4m3 = 24m2 + -24m2 Combine like terms: 24m2 + -24m2 = 0 36m + -24m2 + 4m3 = 0 Factor out the Greatest Common Factor (GCF), '4m'. 4m(9 + -6m + m2) = 0 Factor a trinomial. 4m((3 + -1m)(3 + -1m)) = 0 Ignore the factor 4.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 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 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 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Subproblem 3
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 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 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {0, 3, 3}
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