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Simplifying 28m3 + 44m2 + -120m = 0 Reorder the terms: -120m + 44m2 + 28m3 = 0 Solving -120m + 44m2 + 28m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m'. 4m(-30 + 11m + 7m2) = 0 Factor a trinomial. 4m((-3 + -1m)(10 + -7m)) = 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 '(10 + -7m)' equal to zero and attempt to solve: Simplifying 10 + -7m = 0 Solving 10 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7m = 0 + -10 -7m = 0 + -10 Combine like terms: 0 + -10 = -10 -7m = -10 Divide each side by '-7'. m = 1.428571429 Simplifying m = 1.428571429Solution
m = {0, -3, 1.428571429}
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