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Simplifying 2m2 = 5m + -3 Reorder the terms: 2m2 = -3 + 5m Solving 2m2 = -3 + 5m Solving for variable 'm'. Reorder the terms: 3 + -5m + 2m2 = -3 + 5m + 3 + -5m Reorder the terms: 3 + -5m + 2m2 = -3 + 3 + 5m + -5m Combine like terms: -3 + 3 = 0 3 + -5m + 2m2 = 0 + 5m + -5m 3 + -5m + 2m2 = 5m + -5m Combine like terms: 5m + -5m = 0 3 + -5m + 2m2 = 0 Factor a trinomial. (1 + -1m)(3 + -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 '(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 = 1.5Solution
m = {1, 1.5}
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