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Simplifying (2m + 3)(2m + 3) = 0 Reorder the terms: (3 + 2m)(2m + 3) = 0 Reorder the terms: (3 + 2m)(3 + 2m) = 0 Multiply (3 + 2m) * (3 + 2m) (3(3 + 2m) + 2m * (3 + 2m)) = 0 ((3 * 3 + 2m * 3) + 2m * (3 + 2m)) = 0 ((9 + 6m) + 2m * (3 + 2m)) = 0 (9 + 6m + (3 * 2m + 2m * 2m)) = 0 (9 + 6m + (6m + 4m2)) = 0 Combine like terms: 6m + 6m = 12m (9 + 12m + 4m2) = 0 Solving 9 + 12m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + 2m)(3 + 2m) = 0Subproblem 1
Set the factor '(3 + 2m)' equal to zero and attempt to solve: Simplifying 3 + 2m = 0 Solving 3 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = 0 + -3 2m = 0 + -3 Combine like terms: 0 + -3 = -3 2m = -3 Divide each side by '2'. m = -1.5 Simplifying m = -1.5Subproblem 2
Set the factor '(3 + 2m)' equal to zero and attempt to solve: Simplifying 3 + 2m = 0 Solving 3 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = 0 + -3 2m = 0 + -3 Combine like terms: 0 + -3 = -3 2m = -3 Divide each side by '2'. m = -1.5 Simplifying m = -1.5Solution
m = {-1.5, -1.5}
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