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Simplifying 6m(m + 3) = 5m + -5 Reorder the terms: 6m(3 + m) = 5m + -5 (3 * 6m + m * 6m) = 5m + -5 (18m + 6m2) = 5m + -5 Reorder the terms: 18m + 6m2 = -5 + 5m Solving 18m + 6m2 = -5 + 5m Solving for variable 'm'. Reorder the terms: 5 + 18m + -5m + 6m2 = -5 + 5m + 5 + -5m Combine like terms: 18m + -5m = 13m 5 + 13m + 6m2 = -5 + 5m + 5 + -5m Reorder the terms: 5 + 13m + 6m2 = -5 + 5 + 5m + -5m Combine like terms: -5 + 5 = 0 5 + 13m + 6m2 = 0 + 5m + -5m 5 + 13m + 6m2 = 5m + -5m Combine like terms: 5m + -5m = 0 5 + 13m + 6m2 = 0 Factor a trinomial. (5 + 3m)(1 + 2m) = 0Subproblem 1
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 = -1.666666667Subproblem 2
Set the factor '(1 + 2m)' equal to zero and attempt to solve: Simplifying 1 + 2m = 0 Solving 1 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5Solution
m = {-1.666666667, -0.5}
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