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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 = -19m (-5 + -19m + 30m2) = 0 Solving -5 + -19m + 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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