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Simplifying 3m2 + 39m + 120 = 0 Reorder the terms: 120 + 39m + 3m2 = 0 Solving 120 + 39m + 3m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(40 + 13m + m2) = 0 Factor a trinomial. 3((8 + m)(5 + m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + m)' equal to zero and attempt to solve: Simplifying 8 + m = 0 Solving 8 + m = 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 + m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + m = 0 + -8 m = 0 + -8 Combine like terms: 0 + -8 = -8 m = -8 Simplifying m = -8Subproblem 2
Set the factor '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Solution
m = {-8, -5}
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