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Simplifying (6m + 8)(6m + 4) = 0 Reorder the terms: (8 + 6m)(6m + 4) = 0 Reorder the terms: (8 + 6m)(4 + 6m) = 0 Multiply (8 + 6m) * (4 + 6m) (8(4 + 6m) + 6m * (4 + 6m)) = 0 ((4 * 8 + 6m * 8) + 6m * (4 + 6m)) = 0 ((32 + 48m) + 6m * (4 + 6m)) = 0 (32 + 48m + (4 * 6m + 6m * 6m)) = 0 (32 + 48m + (24m + 36m2)) = 0 Combine like terms: 48m + 24m = 72m (32 + 72m + 36m2) = 0 Solving 32 + 72m + 36m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(8 + 18m + 9m2) = 0 Factor a trinomial. 4((4 + 3m)(2 + 3m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + 3m)' equal to zero and attempt to solve: Simplifying 4 + 3m = 0 Solving 4 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3m = 0 + -4 3m = 0 + -4 Combine like terms: 0 + -4 = -4 3m = -4 Divide each side by '3'. m = -1.333333333 Simplifying m = -1.333333333Subproblem 2
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 = -0.6666666667Solution
m = {-1.333333333, -0.6666666667}
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