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Simplifying 3m2 = -10m + 8 Reorder the terms: 3m2 = 8 + -10m Solving 3m2 = 8 + -10m Solving for variable 'm'. Reorder the terms: -8 + 10m + 3m2 = 8 + -10m + -8 + 10m Reorder the terms: -8 + 10m + 3m2 = 8 + -8 + -10m + 10m Combine like terms: 8 + -8 = 0 -8 + 10m + 3m2 = 0 + -10m + 10m -8 + 10m + 3m2 = -10m + 10m Combine like terms: -10m + 10m = 0 -8 + 10m + 3m2 = 0 Factor a trinomial. (-4 + -1m)(2 + -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 '(2 + -3m)' equal to zero and attempt to solve: Simplifying 2 + -3m = 0 Solving 2 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 0 + -2 -3m = 0 + -2 Combine like terms: 0 + -2 = -2 -3m = -2 Divide each side by '-3'. m = 0.6666666667 Simplifying m = 0.6666666667Solution
m = {-4, 0.6666666667}
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