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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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