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Simplifying 2m2 + 13m = 15 Reorder the terms: 13m + 2m2 = 15 Solving 13m + 2m2 = 15 Solving for variable 'm'. Reorder the terms: -15 + 13m + 2m2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 13m + 2m2 = 0 Factor a trinomial. (-15 + -2m)(1 + -1m) = 0Subproblem 1
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 = -7.5Subproblem 2
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 = 1Solution
m = {-7.5, 1}
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