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Simplifying 5m(m + -1) = 2(1 + -1m) Reorder the terms: 5m(-1 + m) = 2(1 + -1m) (-1 * 5m + m * 5m) = 2(1 + -1m) (-5m + 5m2) = 2(1 + -1m) -5m + 5m2 = (1 * 2 + -1m * 2) -5m + 5m2 = (2 + -2m) Solving -5m + 5m2 = 2 + -2m Solving for variable 'm'. Reorder the terms: -2 + -5m + 2m + 5m2 = 2 + -2m + -2 + 2m Combine like terms: -5m + 2m = -3m -2 + -3m + 5m2 = 2 + -2m + -2 + 2m Reorder the terms: -2 + -3m + 5m2 = 2 + -2 + -2m + 2m Combine like terms: 2 + -2 = 0 -2 + -3m + 5m2 = 0 + -2m + 2m -2 + -3m + 5m2 = -2m + 2m Combine like terms: -2m + 2m = 0 -2 + -3m + 5m2 = 0 Factor a trinomial. (-2 + -5m)(1 + -1m) = 0Subproblem 1
Set the factor '(-2 + -5m)' equal to zero and attempt to solve: Simplifying -2 + -5m = 0 Solving -2 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5m = 0 + 2 -5m = 0 + 2 Combine like terms: 0 + 2 = 2 -5m = 2 Divide each side by '-5'. m = -0.4 Simplifying m = -0.4Subproblem 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 = {-0.4, 1}
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