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Simplifying 3m2 + -12m + -20 = -1m Reorder the terms: -20 + -12m + 3m2 = -1m Solving -20 + -12m + 3m2 = -1m Solving for variable 'm'. Reorder the terms: -20 + -12m + m + 3m2 = -1m + m Combine like terms: -12m + m = -11m -20 + -11m + 3m2 = -1m + m Combine like terms: -1m + m = 0 -20 + -11m + 3m2 = 0 Factor a trinomial. (-4 + -3m)(5 + -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 '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 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 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {-1.333333333, 5}
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