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Simplifying -1m2 + m + -2 = -2m2 Reorder the terms: -2 + m + -1m2 = -2m2 Solving -2 + m + -1m2 = -2m2 Solving for variable 'm'. Combine like terms: -1m2 + 2m2 = 1m2 -2 + m + 1m2 = -2m2 + 2m2 Combine like terms: -2m2 + 2m2 = 0 -2 + m + 1m2 = 0 Factor a trinomial. (-2 + -1m)(1 + -1m) = 0Subproblem 1
Set the factor '(-2 + -1m)' equal to zero and attempt to solve: Simplifying -2 + -1m = 0 Solving -2 + -1m = 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 + -1m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 0 + 2 -1m = 0 + 2 Combine like terms: 0 + 2 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2Subproblem 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 = {-2, 1}
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