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Simplifying 4m(3m + 2) = m + 12 Reorder the terms: 4m(2 + 3m) = m + 12 (2 * 4m + 3m * 4m) = m + 12 (8m + 12m2) = m + 12 Reorder the terms: 8m + 12m2 = 12 + m Solving 8m + 12m2 = 12 + m Solving for variable 'm'. Reorder the terms: -12 + 8m + -1m + 12m2 = 12 + m + -12 + -1m Combine like terms: 8m + -1m = 7m -12 + 7m + 12m2 = 12 + m + -12 + -1m Reorder the terms: -12 + 7m + 12m2 = 12 + -12 + m + -1m Combine like terms: 12 + -12 = 0 -12 + 7m + 12m2 = 0 + m + -1m -12 + 7m + 12m2 = m + -1m Combine like terms: m + -1m = 0 -12 + 7m + 12m2 = 0 Factor a trinomial. (-4 + -3m)(3 + -4m) = 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 '(3 + -4m)' equal to zero and attempt to solve: Simplifying 3 + -4m = 0 Solving 3 + -4m = 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 + -4m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4m = 0 + -3 -4m = 0 + -3 Combine like terms: 0 + -3 = -3 -4m = -3 Divide each side by '-4'. m = 0.75 Simplifying m = 0.75Solution
m = {-1.333333333, 0.75}
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