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Simplifying 9m2 + -39m + -168 = 0 Reorder the terms: -168 + -39m + 9m2 = 0 Solving -168 + -39m + 9m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(-56 + -13m + 3m2) = 0 Factor a trinomial. 3((-8 + -3m)(7 + -1m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + -3m)' equal to zero and attempt to solve: Simplifying -8 + -3m = 0 Solving -8 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3m = 0 + 8 -3m = 0 + 8 Combine like terms: 0 + 8 = 8 -3m = 8 Divide each side by '-3'. m = -2.666666667 Simplifying m = -2.666666667Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 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 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {-2.666666667, 7}
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