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Simplifying 2m2 = -13m + -15 Reorder the terms: 2m2 = -15 + -13m Solving 2m2 = -15 + -13m Solving for variable 'm'. Reorder the terms: 15 + 13m + 2m2 = -15 + -13m + 15 + 13m Reorder the terms: 15 + 13m + 2m2 = -15 + 15 + -13m + 13m Combine like terms: -15 + 15 = 0 15 + 13m + 2m2 = 0 + -13m + 13m 15 + 13m + 2m2 = -13m + 13m Combine like terms: -13m + 13m = 0 15 + 13m + 2m2 = 0 Factor a trinomial. (5 + m)(3 + 2m) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(3 + 2m)' equal to zero and attempt to solve: Simplifying 3 + 2m = 0 Solving 3 + 2m = 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 + 2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = 0 + -3 2m = 0 + -3 Combine like terms: 0 + -3 = -3 2m = -3 Divide each side by '2'. m = -1.5 Simplifying m = -1.5Solution
m = {-5, -1.5}
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