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Simplifying (6m + 5)(7m + 8) = 0 Reorder the terms: (5 + 6m)(7m + 8) = 0 Reorder the terms: (5 + 6m)(8 + 7m) = 0 Multiply (5 + 6m) * (8 + 7m) (5(8 + 7m) + 6m * (8 + 7m)) = 0 ((8 * 5 + 7m * 5) + 6m * (8 + 7m)) = 0 ((40 + 35m) + 6m * (8 + 7m)) = 0 (40 + 35m + (8 * 6m + 7m * 6m)) = 0 (40 + 35m + (48m + 42m2)) = 0 Combine like terms: 35m + 48m = 83m (40 + 83m + 42m2) = 0 Solving 40 + 83m + 42m2 = 0 Solving for variable 'm'. Factor a trinomial. (8 + 7m)(5 + 6m) = 0Subproblem 1
Set the factor '(8 + 7m)' equal to zero and attempt to solve: Simplifying 8 + 7m = 0 Solving 8 + 7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7m = 0 + -8 7m = 0 + -8 Combine like terms: 0 + -8 = -8 7m = -8 Divide each side by '7'. m = -1.142857143 Simplifying m = -1.142857143Subproblem 2
Set the factor '(5 + 6m)' equal to zero and attempt to solve: Simplifying 5 + 6m = 0 Solving 5 + 6m = 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 + 6m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6m = 0 + -5 6m = 0 + -5 Combine like terms: 0 + -5 = -5 6m = -5 Divide each side by '6'. m = -0.8333333333 Simplifying m = -0.8333333333Solution
m = {-1.142857143, -0.8333333333}
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