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Simplifying 2m2 = -3m + 27 Reorder the terms: 2m2 = 27 + -3m Solving 2m2 = 27 + -3m Solving for variable 'm'. Reorder the terms: -27 + 3m + 2m2 = 27 + -3m + -27 + 3m Reorder the terms: -27 + 3m + 2m2 = 27 + -27 + -3m + 3m Combine like terms: 27 + -27 = 0 -27 + 3m + 2m2 = 0 + -3m + 3m -27 + 3m + 2m2 = -3m + 3m Combine like terms: -3m + 3m = 0 -27 + 3m + 2m2 = 0 Factor a trinomial. (-9 + -2m)(3 + -1m) = 0Subproblem 1
Set the factor '(-9 + -2m)' equal to zero and attempt to solve: Simplifying -9 + -2m = 0 Solving -9 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2m = 0 + 9 -2m = 0 + 9 Combine like terms: 0 + 9 = 9 -2m = 9 Divide each side by '-2'. m = -4.5 Simplifying m = -4.5Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 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 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {-4.5, 3}
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