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Simplifying 12m2 + -34m + 24 = 0 Reorder the terms: 24 + -34m + 12m2 = 0 Solving 24 + -34m + 12m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -17m + 6m2) = 0 Factor a trinomial. 2((4 + -3m)(3 + -2m)) = 0 Ignore the factor 2.Subproblem 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 + -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 = 1.5Solution
m = {1.333333333, 1.5}
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