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Simplifying 9m2 + 33m + 30 = 0 Reorder the terms: 30 + 33m + 9m2 = 0 Solving 30 + 33m + 9m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(10 + 11m + 3m2) = 0 Factor a trinomial. 3((2 + m)(5 + 3m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 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 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Subproblem 2
Set the factor '(5 + 3m)' equal to zero and attempt to solve: Simplifying 5 + 3m = 0 Solving 5 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3m = 0 + -5 3m = 0 + -5 Combine like terms: 0 + -5 = -5 3m = -5 Divide each side by '3'. m = -1.666666667 Simplifying m = -1.666666667Solution
m = {-2, -1.666666667}
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