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Simplifying (3m + -1)(3m + 5) = 0 Reorder the terms: (-1 + 3m)(3m + 5) = 0 Reorder the terms: (-1 + 3m)(5 + 3m) = 0 Multiply (-1 + 3m) * (5 + 3m) (-1(5 + 3m) + 3m * (5 + 3m)) = 0 ((5 * -1 + 3m * -1) + 3m * (5 + 3m)) = 0 ((-5 + -3m) + 3m * (5 + 3m)) = 0 (-5 + -3m + (5 * 3m + 3m * 3m)) = 0 (-5 + -3m + (15m + 9m2)) = 0 Combine like terms: -3m + 15m = 12m (-5 + 12m + 9m2) = 0 Solving -5 + 12m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -3m)(1 + -3m) = 0Subproblem 1
Set the factor '(-5 + -3m)' equal to zero and attempt to solve: Simplifying -5 + -3m = 0 Solving -5 + -3m = 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 + -3m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3m = 0 + 5 -3m = 0 + 5 Combine like terms: 0 + 5 = 5 -3m = 5 Divide each side by '-3'. m = -1.666666667 Simplifying m = -1.666666667Subproblem 2
Set the factor '(1 + -3m)' equal to zero and attempt to solve: Simplifying 1 + -3m = 0 Solving 1 + -3m = 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 + -3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m = 0 + -1 -3m = 0 + -1 Combine like terms: 0 + -1 = -1 -3m = -1 Divide each side by '-3'. m = 0.3333333333 Simplifying m = 0.3333333333Solution
m = {-1.666666667, 0.3333333333}
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