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Simplifying 0 = 6m2 + 10m + -24 Reorder the terms: 0 = -24 + 10m + 6m2 Solving 0 = -24 + 10m + 6m2 Solving for variable 'm'. Combine like terms: 0 + 24 = 24 24 + -10m + -6m2 = -24 + 10m + 6m2 + 24 + -10m + -6m2 Reorder the terms: 24 + -10m + -6m2 = -24 + 24 + 10m + -10m + 6m2 + -6m2 Combine like terms: -24 + 24 = 0 24 + -10m + -6m2 = 0 + 10m + -10m + 6m2 + -6m2 24 + -10m + -6m2 = 10m + -10m + 6m2 + -6m2 Combine like terms: 10m + -10m = 0 24 + -10m + -6m2 = 0 + 6m2 + -6m2 24 + -10m + -6m2 = 6m2 + -6m2 Combine like terms: 6m2 + -6m2 = 0 24 + -10m + -6m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -5m + -3m2) = 0 Factor a trinomial. 2((4 + -3m)(3 + m)) = 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 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 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 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Solution
m = {1.333333333, -3}
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