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Simplifying -6m2 = 13m + -15 Reorder the terms: -6m2 = -15 + 13m Solving -6m2 = -15 + 13m Solving for variable 'm'. Reorder the terms: 15 + -13m + -6m2 = -15 + 13m + 15 + -13m Reorder the terms: 15 + -13m + -6m2 = -15 + 15 + 13m + -13m Combine like terms: -15 + 15 = 0 15 + -13m + -6m2 = 0 + 13m + -13m 15 + -13m + -6m2 = 13m + -13m Combine like terms: 13m + -13m = 0 15 + -13m + -6m2 = 0 Factor a trinomial. (5 + -6m)(3 + m) = 0Subproblem 1
Set the factor '(5 + -6m)' equal to zero and attempt to solve: Simplifying 5 + -6m = 0 Solving 5 + -6m = 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 + -6m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6m = 0 + -5 -6m = 0 + -5 Combine like terms: 0 + -5 = -5 -6m = -5 Divide each side by '-6'. m = 0.8333333333 Simplifying m = 0.8333333333Subproblem 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 = {0.8333333333, -3}
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