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Simplifying 24m2 + 30m + -12 = 87 Reorder the terms: -12 + 30m + 24m2 = 87 Solving -12 + 30m + 24m2 = 87 Solving for variable 'm'. Reorder the terms: -12 + -87 + 30m + 24m2 = 87 + -87 Combine like terms: -12 + -87 = -99 -99 + 30m + 24m2 = 87 + -87 Combine like terms: 87 + -87 = 0 -99 + 30m + 24m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-33 + 10m + 8m2) = 0 Factor a trinomial. 3((-11 + -4m)(3 + -2m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-11 + -4m)' equal to zero and attempt to solve: Simplifying -11 + -4m = 0 Solving -11 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -4m = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4m = 0 + 11 -4m = 0 + 11 Combine like terms: 0 + 11 = 11 -4m = 11 Divide each side by '-4'. m = -2.75 Simplifying m = -2.75Subproblem 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 = {-2.75, 1.5}
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