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Simplifying 2m2 = 15m + -13 Reorder the terms: 2m2 = -13 + 15m Solving 2m2 = -13 + 15m Solving for variable 'm'. Reorder the terms: 13 + -15m + 2m2 = -13 + 15m + 13 + -15m Reorder the terms: 13 + -15m + 2m2 = -13 + 13 + 15m + -15m Combine like terms: -13 + 13 = 0 13 + -15m + 2m2 = 0 + 15m + -15m 13 + -15m + 2m2 = 15m + -15m Combine like terms: 15m + -15m = 0 13 + -15m + 2m2 = 0 Factor a trinomial. (1 + -1m)(13 + -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 '(13 + -2m)' equal to zero and attempt to solve: Simplifying 13 + -2m = 0 Solving 13 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2m = 0 + -13 -2m = 0 + -13 Combine like terms: 0 + -13 = -13 -2m = -13 Divide each side by '-2'. m = 6.5 Simplifying m = 6.5Solution
m = {1, 6.5}
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