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Simplifying 16m3 + -124m2 + 168m = 0 Reorder the terms: 168m + -124m2 + 16m3 = 0 Solving 168m + -124m2 + 16m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m'. 4m(42 + -31m + 4m2) = 0 Factor a trinomial. 4m((7 + -4m)(6 + -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 '(7 + -4m)' equal to zero and attempt to solve: Simplifying 7 + -4m = 0 Solving 7 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4m = 0 + -7 -4m = 0 + -7 Combine like terms: 0 + -7 = -7 -4m = -7 Divide each side by '-4'. m = 1.75 Simplifying m = 1.75Subproblem 3
Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {0, 1.75, 6}
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