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Simplifying 21m2 = -119m + -168 Reorder the terms: 21m2 = -168 + -119m Solving 21m2 = -168 + -119m Solving for variable 'm'. Reorder the terms: 168 + 119m + 21m2 = -168 + -119m + 168 + 119m Reorder the terms: 168 + 119m + 21m2 = -168 + 168 + -119m + 119m Combine like terms: -168 + 168 = 0 168 + 119m + 21m2 = 0 + -119m + 119m 168 + 119m + 21m2 = -119m + 119m Combine like terms: -119m + 119m = 0 168 + 119m + 21m2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(24 + 17m + 3m2) = 0 Factor a trinomial. 7((3 + m)(8 + 3m)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 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 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Subproblem 2
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 = -2.666666667Solution
m = {-3, -2.666666667}
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