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Simplifying 3m2 + -80 = 8m Reorder the terms: -80 + 3m2 = 8m Solving -80 + 3m2 = 8m Solving for variable 'm'. Reorder the terms: -80 + -8m + 3m2 = 8m + -8m Combine like terms: 8m + -8m = 0 -80 + -8m + 3m2 = 0 Factor a trinomial. (-4 + -1m)(20 + -3m) = 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 '(20 + -3m)' equal to zero and attempt to solve: Simplifying 20 + -3m = 0 Solving 20 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -3m = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -3m = 0 + -20 -3m = 0 + -20 Combine like terms: 0 + -20 = -20 -3m = -20 Divide each side by '-3'. m = 6.666666667 Simplifying m = 6.666666667Solution
m = {-4, 6.666666667}
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