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Simplifying m2 = -8m + -15 Reorder the terms: m2 = -15 + -8m Solving m2 = -15 + -8m Solving for variable 'm'. Reorder the terms: 15 + 8m + m2 = -15 + -8m + 15 + 8m Reorder the terms: 15 + 8m + m2 = -15 + 15 + -8m + 8m Combine like terms: -15 + 15 = 0 15 + 8m + m2 = 0 + -8m + 8m 15 + 8m + m2 = -8m + 8m Combine like terms: -8m + 8m = 0 15 + 8m + m2 = 0 Factor a trinomial. (5 + m)(3 + m) = 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 + 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 = -3Solution
m = {-5, -3}
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