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Simplifying 2m2 = -18 + 15m Solving 2m2 = -18 + 15m Solving for variable 'm'. Reorder the terms: 18 + -15m + 2m2 = -18 + 15m + 18 + -15m Reorder the terms: 18 + -15m + 2m2 = -18 + 18 + 15m + -15m Combine like terms: -18 + 18 = 0 18 + -15m + 2m2 = 0 + 15m + -15m 18 + -15m + 2m2 = 15m + -15m Combine like terms: 15m + -15m = 0 18 + -15m + 2m2 = 0 Factor a trinomial. (3 + -2m)(6 + -1m) = 0Subproblem 1
Set the factor '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 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 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {1.5, 6}
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