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Simplifying (3m + 5)(6m + 2) = 0 Reorder the terms: (5 + 3m)(6m + 2) = 0 Reorder the terms: (5 + 3m)(2 + 6m) = 0 Multiply (5 + 3m) * (2 + 6m) (5(2 + 6m) + 3m * (2 + 6m)) = 0 ((2 * 5 + 6m * 5) + 3m * (2 + 6m)) = 0 ((10 + 30m) + 3m * (2 + 6m)) = 0 (10 + 30m + (2 * 3m + 6m * 3m)) = 0 (10 + 30m + (6m + 18m2)) = 0 Combine like terms: 30m + 6m = 36m (10 + 36m + 18m2) = 0 Solving 10 + 36m + 18m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 18m + 9m2) = 0 Factor a trinomial. 2((5 + 3m)(1 + 3m)) = 0 Ignore the factor 2.Subproblem 1
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 = -1.666666667Subproblem 2
Set the factor '(1 + 3m)' equal to zero and attempt to solve: Simplifying 1 + 3m = 0 Solving 1 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3m = 0 + -1 3m = 0 + -1 Combine like terms: 0 + -1 = -1 3m = -1 Divide each side by '3'. m = -0.3333333333 Simplifying m = -0.3333333333Solution
m = {-1.666666667, -0.3333333333}
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