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Simplifying 2m2 + -13m + -15 = 0 Reorder the terms: -15 + -13m + 2m2 = 0 Solving -15 + -13m + 2m2 = 0 Solving for variable 'm'. Factor a trinomial. (-1 + -1m)(15 + -2m) = 0Subproblem 1
Set the factor '(-1 + -1m)' equal to zero and attempt to solve: Simplifying -1 + -1m = 0 Solving -1 + -1m = 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 + -1m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1m = 0 + 1 -1m = 0 + 1 Combine like terms: 0 + 1 = 1 -1m = 1 Divide each side by '-1'. m = -1 Simplifying m = -1Subproblem 2
Set the factor '(15 + -2m)' equal to zero and attempt to solve: Simplifying 15 + -2m = 0 Solving 15 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2m = 0 + -15 -2m = 0 + -15 Combine like terms: 0 + -15 = -15 -2m = -15 Divide each side by '-2'. m = 7.5 Simplifying m = 7.5Solution
m = {-1, 7.5}
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