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Simplifying 2m2 = 20 + -3m Solving 2m2 = 20 + -3m Solving for variable 'm'. Reorder the terms: -20 + 3m + 2m2 = 20 + -3m + -20 + 3m Reorder the terms: -20 + 3m + 2m2 = 20 + -20 + -3m + 3m Combine like terms: 20 + -20 = 0 -20 + 3m + 2m2 = 0 + -3m + 3m -20 + 3m + 2m2 = -3m + 3m Combine like terms: -3m + 3m = 0 -20 + 3m + 2m2 = 0 Factor a trinomial. (-4 + -1m)(5 + -2m) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(5 + -2m)' equal to zero and attempt to solve: Simplifying 5 + -2m = 0 Solving 5 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 0 + -5 -2m = 0 + -5 Combine like terms: 0 + -5 = -5 -2m = -5 Divide each side by '-2'. m = 2.5 Simplifying m = 2.5Solution
m = {-4, 2.5}
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