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Simplifying 3m3 + -9m2 + -912m = 0 Reorder the terms: -912m + -9m2 + 3m3 = 0 Solving -912m + -9m2 + 3m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(-304 + -3m + m2) = 0 Factor a trinomial. 3m((-16 + -1m)(19 + -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 '(-16 + -1m)' equal to zero and attempt to solve: Simplifying -16 + -1m = 0 Solving -16 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1m = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1m = 0 + 16 -1m = 0 + 16 Combine like terms: 0 + 16 = 16 -1m = 16 Divide each side by '-1'. m = -16 Simplifying m = -16Subproblem 3
Set the factor '(19 + -1m)' equal to zero and attempt to solve: Simplifying 19 + -1m = 0 Solving 19 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1m = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1m = 0 + -19 -1m = 0 + -19 Combine like terms: 0 + -19 = -19 -1m = -19 Divide each side by '-1'. m = 19 Simplifying m = 19Solution
m = {0, -16, 19}
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