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Simplifying 54m2 + 54m + -168 = 0 Reorder the terms: -168 + 54m + 54m2 = 0 Solving -168 + 54m + 54m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6'. 6(-28 + 9m + 9m2) = 0 Factor a trinomial. 6((-7 + -3m)(4 + -3m)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-7 + -3m)' equal to zero and attempt to solve: Simplifying -7 + -3m = 0 Solving -7 + -3m = 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 + -3m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3m = 0 + 7 -3m = 0 + 7 Combine like terms: 0 + 7 = 7 -3m = 7 Divide each side by '-3'. m = -2.333333333 Simplifying m = -2.333333333Subproblem 2
Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333Solution
m = {-2.333333333, 1.333333333}
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