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Simplifying 6m(m + 3) = m + -12 Reorder the terms: 6m(3 + m) = m + -12 (3 * 6m + m * 6m) = m + -12 (18m + 6m2) = m + -12 Reorder the terms: 18m + 6m2 = -12 + m Solving 18m + 6m2 = -12 + m Solving for variable 'm'. Reorder the terms: 12 + 18m + -1m + 6m2 = -12 + m + 12 + -1m Combine like terms: 18m + -1m = 17m 12 + 17m + 6m2 = -12 + m + 12 + -1m Reorder the terms: 12 + 17m + 6m2 = -12 + 12 + m + -1m Combine like terms: -12 + 12 = 0 12 + 17m + 6m2 = 0 + m + -1m 12 + 17m + 6m2 = m + -1m Combine like terms: m + -1m = 0 12 + 17m + 6m2 = 0 Factor a trinomial. (3 + 2m)(4 + 3m) = 0Subproblem 1
Set the factor '(3 + 2m)' equal to zero and attempt to solve: Simplifying 3 + 2m = 0 Solving 3 + 2m = 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 + 2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = 0 + -3 2m = 0 + -3 Combine like terms: 0 + -3 = -3 2m = -3 Divide each side by '2'. m = -1.5 Simplifying m = -1.5Subproblem 2
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 = -1.333333333Solution
m = {-1.5, -1.333333333}
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