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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 = 0 (-25 + 0 + 9m2) = 0 (-25 + 9m2) = 0 Solving -25 + 9m2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 9m2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 9m2 = 0 + 25 9m2 = 0 + 25 Combine like terms: 0 + 25 = 25 9m2 = 25 Divide each side by '9'. m2 = 2.777777778 Simplifying m2 = 2.777777778 Take the square root of each side: m = {-1.666666667, 1.666666667}
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