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Simplifying 24m2 + -23m + -12 = 0 Reorder the terms: -12 + -23m + 24m2 = 0 Solving -12 + -23m + 24m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -8m)(4 + -3m) = 0Subproblem 1
Set the factor '(-3 + -8m)' equal to zero and attempt to solve: Simplifying -3 + -8m = 0 Solving -3 + -8m = 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 + -8m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8m = 0 + 3 -8m = 0 + 3 Combine like terms: 0 + 3 = 3 -8m = 3 Divide each side by '-8'. m = -0.375 Simplifying m = -0.375Subproblem 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 = {-0.375, 1.333333333}
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