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Simplifying -2m2 + -2m + -8 = -5m2 Reorder the terms: -8 + -2m + -2m2 = -5m2 Solving -8 + -2m + -2m2 = -5m2 Solving for variable 'm'. Combine like terms: -2m2 + 5m2 = 3m2 -8 + -2m + 3m2 = -5m2 + 5m2 Combine like terms: -5m2 + 5m2 = 0 -8 + -2m + 3m2 = 0 Factor a trinomial. (-4 + -3m)(2 + -1m) = 0Subproblem 1
Set the factor '(-4 + -3m)' equal to zero and attempt to solve: Simplifying -4 + -3m = 0 Solving -4 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3m = 0 + 4 -3m = 0 + 4 Combine like terms: 0 + 4 = 4 -3m = 4 Divide each side by '-3'. m = -1.333333333 Simplifying m = -1.333333333Subproblem 2
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 = 2Solution
m = {-1.333333333, 2}
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