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Simplifying (8m + 3)(2m + 9) = 0 Reorder the terms: (3 + 8m)(2m + 9) = 0 Reorder the terms: (3 + 8m)(9 + 2m) = 0 Multiply (3 + 8m) * (9 + 2m) (3(9 + 2m) + 8m * (9 + 2m)) = 0 ((9 * 3 + 2m * 3) + 8m * (9 + 2m)) = 0 ((27 + 6m) + 8m * (9 + 2m)) = 0 (27 + 6m + (9 * 8m + 2m * 8m)) = 0 (27 + 6m + (72m + 16m2)) = 0 Combine like terms: 6m + 72m = 78m (27 + 78m + 16m2) = 0 Solving 27 + 78m + 16m2 = 0 Solving for variable 'm'. Factor a trinomial. (9 + 2m)(3 + 8m) = 0Subproblem 1
Set the factor '(9 + 2m)' equal to zero and attempt to solve: Simplifying 9 + 2m = 0 Solving 9 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2m = 0 + -9 2m = 0 + -9 Combine like terms: 0 + -9 = -9 2m = -9 Divide each side by '2'. m = -4.5 Simplifying m = -4.5Subproblem 2
Set the factor '(3 + 8m)' equal to zero and attempt to solve: Simplifying 3 + 8m = 0 Solving 3 + 8m = 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 + 8m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8m = 0 + -3 8m = 0 + -3 Combine like terms: 0 + -3 = -3 8m = -3 Divide each side by '8'. m = -0.375 Simplifying m = -0.375Solution
m = {-4.5, -0.375}
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