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Simplifying (3m + 6)(4m + 11) = 0 Reorder the terms: (6 + 3m)(4m + 11) = 0 Reorder the terms: (6 + 3m)(11 + 4m) = 0 Multiply (6 + 3m) * (11 + 4m) (6(11 + 4m) + 3m * (11 + 4m)) = 0 ((11 * 6 + 4m * 6) + 3m * (11 + 4m)) = 0 ((66 + 24m) + 3m * (11 + 4m)) = 0 (66 + 24m + (11 * 3m + 4m * 3m)) = 0 (66 + 24m + (33m + 12m2)) = 0 Combine like terms: 24m + 33m = 57m (66 + 57m + 12m2) = 0 Solving 66 + 57m + 12m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(22 + 19m + 4m2) = 0 Factor a trinomial. 3((11 + 4m)(2 + m)) = 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 '(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 = -2Solution
m = {-2.75, -2}
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