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Simplifying (5m + -1)(6m + -5) = 0 Reorder the terms: (-1 + 5m)(6m + -5) = 0 Reorder the terms: (-1 + 5m)(-5 + 6m) = 0 Multiply (-1 + 5m) * (-5 + 6m) (-1(-5 + 6m) + 5m * (-5 + 6m)) = 0 ((-5 * -1 + 6m * -1) + 5m * (-5 + 6m)) = 0 ((5 + -6m) + 5m * (-5 + 6m)) = 0 (5 + -6m + (-5 * 5m + 6m * 5m)) = 0 (5 + -6m + (-25m + 30m2)) = 0 Combine like terms: -6m + -25m = -31m (5 + -31m + 30m2) = 0 Solving 5 + -31m + 30m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + -5m)(5 + -6m) = 0Subproblem 1
Set the factor '(1 + -5m)' equal to zero and attempt to solve: Simplifying 1 + -5m = 0 Solving 1 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5m = 0 + -1 -5m = 0 + -1 Combine like terms: 0 + -1 = -1 -5m = -1 Divide each side by '-5'. m = 0.2 Simplifying m = 0.2Subproblem 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 = {0.2, 0.8333333333}
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