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Simplifying (3m + 4)(5m + -1) = 0 Reorder the terms: (4 + 3m)(5m + -1) = 0 Reorder the terms: (4 + 3m)(-1 + 5m) = 0 Multiply (4 + 3m) * (-1 + 5m) (4(-1 + 5m) + 3m * (-1 + 5m)) = 0 ((-1 * 4 + 5m * 4) + 3m * (-1 + 5m)) = 0 ((-4 + 20m) + 3m * (-1 + 5m)) = 0 (-4 + 20m + (-1 * 3m + 5m * 3m)) = 0 (-4 + 20m + (-3m + 15m2)) = 0 Combine like terms: 20m + -3m = 17m (-4 + 17m + 15m2) = 0 Solving -4 + 17m + 15m2 = 0 Solving for variable 'm'. Factor a trinomial. (-4 + -3m)(1 + -5m) = 0Subproblem 1
Set the factor '(-4 + -3m)' equal to zero and attempt to solve: Simplifying -4 + -3m = 0 Solving -4 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3m = 0 + 4 -3m = 0 + 4 Combine like terms: 0 + 4 = 4 -3m = 4 Divide each side by '-3'. m = -1.333333333 Simplifying m = -1.333333333Subproblem 2
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 = 0.2Solution
m = {-1.333333333, 0.2}
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