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Simplifying 30m2 + 27m + -108 = 0 Reorder the terms: -108 + 27m + 30m2 = 0 Solving -108 + 27m + 30m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(-36 + 9m + 10m2) = 0 Factor a trinomial. 3((-12 + -5m)(3 + -2m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-12 + -5m)' equal to zero and attempt to solve: Simplifying -12 + -5m = 0 Solving -12 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5m = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5m = 0 + 12 -5m = 0 + 12 Combine like terms: 0 + 12 = 12 -5m = 12 Divide each side by '-5'. m = -2.4 Simplifying m = -2.4Subproblem 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 = {-2.4, 1.5}
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