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Simplifying (8m + 7)(2m + 3) = 0 Reorder the terms: (7 + 8m)(2m + 3) = 0 Reorder the terms: (7 + 8m)(3 + 2m) = 0 Multiply (7 + 8m) * (3 + 2m) (7(3 + 2m) + 8m * (3 + 2m)) = 0 ((3 * 7 + 2m * 7) + 8m * (3 + 2m)) = 0 ((21 + 14m) + 8m * (3 + 2m)) = 0 (21 + 14m + (3 * 8m + 2m * 8m)) = 0 (21 + 14m + (24m + 16m2)) = 0 Combine like terms: 14m + 24m = 38m (21 + 38m + 16m2) = 0 Solving 21 + 38m + 16m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + 2m)(7 + 8m) = 0Subproblem 1
Set the factor '(3 + 2m)' equal to zero and attempt to solve: Simplifying 3 + 2m = 0 Solving 3 + 2m = 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 + 2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = 0 + -3 2m = 0 + -3 Combine like terms: 0 + -3 = -3 2m = -3 Divide each side by '2'. m = -1.5 Simplifying m = -1.5Subproblem 2
Set the factor '(7 + 8m)' equal to zero and attempt to solve: Simplifying 7 + 8m = 0 Solving 7 + 8m = 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 + 8m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8m = 0 + -7 8m = 0 + -7 Combine like terms: 0 + -7 = -7 8m = -7 Divide each side by '8'. m = -0.875 Simplifying m = -0.875Solution
m = {-1.5, -0.875}
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