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Simplifying (3m + 7)(3m + 7) = 0 Reorder the terms: (7 + 3m)(3m + 7) = 0 Reorder the terms: (7 + 3m)(7 + 3m) = 0 Multiply (7 + 3m) * (7 + 3m) (7(7 + 3m) + 3m * (7 + 3m)) = 0 ((7 * 7 + 3m * 7) + 3m * (7 + 3m)) = 0 ((49 + 21m) + 3m * (7 + 3m)) = 0 (49 + 21m + (7 * 3m + 3m * 3m)) = 0 (49 + 21m + (21m + 9m2)) = 0 Combine like terms: 21m + 21m = 42m (49 + 42m + 9m2) = 0 Solving 49 + 42m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + 3m)(7 + 3m) = 0Subproblem 1
Set the factor '(7 + 3m)' equal to zero and attempt to solve: Simplifying 7 + 3m = 0 Solving 7 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3m = 0 + -7 3m = 0 + -7 Combine like terms: 0 + -7 = -7 3m = -7 Divide each side by '3'. m = -2.333333333 Simplifying m = -2.333333333Subproblem 2
Set the factor '(7 + 3m)' equal to zero and attempt to solve: Simplifying 7 + 3m = 0 Solving 7 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3m = 0 + -7 3m = 0 + -7 Combine like terms: 0 + -7 = -7 3m = -7 Divide each side by '3'. m = -2.333333333 Simplifying m = -2.333333333Solution
m = {-2.333333333, -2.333333333}
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