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Simplifying (6m + 4)(5m + 3) = 0 Reorder the terms: (4 + 6m)(5m + 3) = 0 Reorder the terms: (4 + 6m)(3 + 5m) = 0 Multiply (4 + 6m) * (3 + 5m) (4(3 + 5m) + 6m * (3 + 5m)) = 0 ((3 * 4 + 5m * 4) + 6m * (3 + 5m)) = 0 ((12 + 20m) + 6m * (3 + 5m)) = 0 (12 + 20m + (3 * 6m + 5m * 6m)) = 0 (12 + 20m + (18m + 30m2)) = 0 Combine like terms: 20m + 18m = 38m (12 + 38m + 30m2) = 0 Solving 12 + 38m + 30m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 19m + 15m2) = 0 Factor a trinomial. 2((2 + 3m)(3 + 5m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + 3m)' equal to zero and attempt to solve: Simplifying 2 + 3m = 0 Solving 2 + 3m = 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 + 3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3m = 0 + -2 3m = 0 + -2 Combine like terms: 0 + -2 = -2 3m = -2 Divide each side by '3'. m = -0.6666666667 Simplifying m = -0.6666666667Subproblem 2
Set the factor '(3 + 5m)' equal to zero and attempt to solve: Simplifying 3 + 5m = 0 Solving 3 + 5m = 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 + 5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5m = 0 + -3 5m = 0 + -3 Combine like terms: 0 + -3 = -3 5m = -3 Divide each side by '5'. m = -0.6 Simplifying m = -0.6Solution
m = {-0.6666666667, -0.6}
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