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Simplifying (6m + -5)(7m + -9) = 0 Reorder the terms: (-5 + 6m)(7m + -9) = 0 Reorder the terms: (-5 + 6m)(-9 + 7m) = 0 Multiply (-5 + 6m) * (-9 + 7m) (-5(-9 + 7m) + 6m * (-9 + 7m)) = 0 ((-9 * -5 + 7m * -5) + 6m * (-9 + 7m)) = 0 ((45 + -35m) + 6m * (-9 + 7m)) = 0 (45 + -35m + (-9 * 6m + 7m * 6m)) = 0 (45 + -35m + (-54m + 42m2)) = 0 Combine like terms: -35m + -54m = -89m (45 + -89m + 42m2) = 0 Solving 45 + -89m + 42m2 = 0 Solving for variable 'm'. Factor a trinomial. (5 + -6m)(9 + -7m) = 0Subproblem 1
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 = 0.8333333333Subproblem 2
Set the factor '(9 + -7m)' equal to zero and attempt to solve: Simplifying 9 + -7m = 0 Solving 9 + -7m = 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 + -7m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7m = 0 + -9 -7m = 0 + -9 Combine like terms: 0 + -9 = -9 -7m = -9 Divide each side by '-7'. m = 1.285714286 Simplifying m = 1.285714286Solution
m = {0.8333333333, 1.285714286}
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