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Simplifying (6m + 3)(5 + -2m) = 0 Reorder the terms: (3 + 6m)(5 + -2m) = 0 Multiply (3 + 6m) * (5 + -2m) (3(5 + -2m) + 6m * (5 + -2m)) = 0 ((5 * 3 + -2m * 3) + 6m * (5 + -2m)) = 0 ((15 + -6m) + 6m * (5 + -2m)) = 0 (15 + -6m + (5 * 6m + -2m * 6m)) = 0 (15 + -6m + (30m + -12m2)) = 0 Combine like terms: -6m + 30m = 24m (15 + 24m + -12m2) = 0 Solving 15 + 24m + -12m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(5 + 8m + -4m2) = 0 Factor a trinomial. 3((5 + -2m)(1 + 2m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + -2m)' equal to zero and attempt to solve: Simplifying 5 + -2m = 0 Solving 5 + -2m = 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 + -2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 0 + -5 -2m = 0 + -5 Combine like terms: 0 + -5 = -5 -2m = -5 Divide each side by '-2'. m = 2.5 Simplifying m = 2.5Subproblem 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 = {2.5, -0.5}
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