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Simplifying 3m(m + 4) + 5m = -20 Reorder the terms: 3m(4 + m) + 5m = -20 (4 * 3m + m * 3m) + 5m = -20 (12m + 3m2) + 5m = -20 Reorder the terms: 12m + 5m + 3m2 = -20 Combine like terms: 12m + 5m = 17m 17m + 3m2 = -20 Solving 17m + 3m2 = -20 Solving for variable 'm'. Reorder the terms: 20 + 17m + 3m2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + 17m + 3m2 = 0 Factor a trinomial. (4 + m)(5 + 3m) = 0Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 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 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Subproblem 2
Set the factor '(5 + 3m)' equal to zero and attempt to solve: Simplifying 5 + 3m = 0 Solving 5 + 3m = 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 + 3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3m = 0 + -5 3m = 0 + -5 Combine like terms: 0 + -5 = -5 3m = -5 Divide each side by '3'. m = -1.666666667 Simplifying m = -1.666666667Solution
m = {-4, -1.666666667}
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