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Simplifying (2m + 7)(6m + 3) = 0 Reorder the terms: (7 + 2m)(6m + 3) = 0 Reorder the terms: (7 + 2m)(3 + 6m) = 0 Multiply (7 + 2m) * (3 + 6m) (7(3 + 6m) + 2m * (3 + 6m)) = 0 ((3 * 7 + 6m * 7) + 2m * (3 + 6m)) = 0 ((21 + 42m) + 2m * (3 + 6m)) = 0 (21 + 42m + (3 * 2m + 6m * 2m)) = 0 (21 + 42m + (6m + 12m2)) = 0 Combine like terms: 42m + 6m = 48m (21 + 48m + 12m2) = 0 Solving 21 + 48m + 12m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(7 + 16m + 4m2) = 0 Factor a trinomial. 3((7 + 2m)(1 + 2m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + 2m)' equal to zero and attempt to solve: Simplifying 7 + 2m = 0 Solving 7 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2m = 0 + -7 2m = 0 + -7 Combine like terms: 0 + -7 = -7 2m = -7 Divide each side by '2'. m = -3.5 Simplifying m = -3.5Subproblem 2
Set the factor '(1 + 2m)' equal to zero and attempt to solve: Simplifying 1 + 2m = 0 Solving 1 + 2m = 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 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5Solution
m = {-3.5, -0.5}
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