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Simplifying 12m2 + 8m + -32 = 0 Reorder the terms: -32 + 8m + 12m2 = 0 Solving -32 + 8m + 12m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(-8 + 2m + 3m2) = 0 Factor a trinomial. 4((-2 + -1m)(4 + -3m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + -1m)' equal to zero and attempt to solve: Simplifying -2 + -1m = 0 Solving -2 + -1m = 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 + -1m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 0 + 2 -1m = 0 + 2 Combine like terms: 0 + 2 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2Subproblem 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 = {-2, 1.333333333}
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