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Simplifying -3m2 + 7m + -26 = -4m2 + -2 + 5m Reorder the terms: -26 + 7m + -3m2 = -4m2 + -2 + 5m Reorder the terms: -26 + 7m + -3m2 = -2 + 5m + -4m2 Solving -26 + 7m + -3m2 = -2 + 5m + -4m2 Solving for variable 'm'. Reorder the terms: -26 + 2 + 7m + -5m + -3m2 + 4m2 = -2 + 5m + -4m2 + 2 + -5m + 4m2 Combine like terms: -26 + 2 = -24 -24 + 7m + -5m + -3m2 + 4m2 = -2 + 5m + -4m2 + 2 + -5m + 4m2 Combine like terms: 7m + -5m = 2m -24 + 2m + -3m2 + 4m2 = -2 + 5m + -4m2 + 2 + -5m + 4m2 Combine like terms: -3m2 + 4m2 = 1m2 -24 + 2m + 1m2 = -2 + 5m + -4m2 + 2 + -5m + 4m2 Reorder the terms: -24 + 2m + 1m2 = -2 + 2 + 5m + -5m + -4m2 + 4m2 Combine like terms: -2 + 2 = 0 -24 + 2m + 1m2 = 0 + 5m + -5m + -4m2 + 4m2 -24 + 2m + 1m2 = 5m + -5m + -4m2 + 4m2 Combine like terms: 5m + -5m = 0 -24 + 2m + 1m2 = 0 + -4m2 + 4m2 -24 + 2m + 1m2 = -4m2 + 4m2 Combine like terms: -4m2 + 4m2 = 0 -24 + 2m + 1m2 = 0 Factor a trinomial. (-6 + -1m)(4 + -1m) = 0Subproblem 1
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 = -6Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-6, 4}
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