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Simplifying 8m3 + -24m2 + -2720m = 0 Reorder the terms: -2720m + -24m2 + 8m3 = 0 Solving -2720m + -24m2 + 8m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '8m'. 8m(-340 + -3m + m2) = 0 Factor a trinomial. 8m((-17 + -1m)(20 + -1m)) = 0 Ignore the factor 8.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 '(-17 + -1m)' equal to zero and attempt to solve: Simplifying -17 + -1m = 0 Solving -17 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1m = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1m = 0 + 17 -1m = 0 + 17 Combine like terms: 0 + 17 = 17 -1m = 17 Divide each side by '-1'. m = -17 Simplifying m = -17Subproblem 3
Set the factor '(20 + -1m)' equal to zero and attempt to solve: Simplifying 20 + -1m = 0 Solving 20 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1m = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1m = 0 + -20 -1m = 0 + -20 Combine like terms: 0 + -20 = -20 -1m = -20 Divide each side by '-1'. m = 20 Simplifying m = 20Solution
m = {0, -17, 20}
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