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Simplifying (3m + -5)(3m + -5) = 0 Reorder the terms: (-5 + 3m)(3m + -5) = 0 Reorder the terms: (-5 + 3m)(-5 + 3m) = 0 Multiply (-5 + 3m) * (-5 + 3m) (-5(-5 + 3m) + 3m * (-5 + 3m)) = 0 ((-5 * -5 + 3m * -5) + 3m * (-5 + 3m)) = 0 ((25 + -15m) + 3m * (-5 + 3m)) = 0 (25 + -15m + (-5 * 3m + 3m * 3m)) = 0 (25 + -15m + (-15m + 9m2)) = 0 Combine like terms: -15m + -15m = -30m (25 + -30m + 9m2) = 0 Solving 25 + -30m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (5 + -3m)(5 + -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 '(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 = 1.666666667Solution
m = {1.666666667, 1.666666667}
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