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Simplifying 3m(3m + 4) + 4 = 0 Reorder the terms: 3m(4 + 3m) + 4 = 0 (4 * 3m + 3m * 3m) + 4 = 0 (12m + 9m2) + 4 = 0 Reorder the terms: 4 + 12m + 9m2 = 0 Solving 4 + 12m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (2 + 3m)(2 + 3m) = 0Subproblem 1
Set the factor '(2 + 3m)' equal to zero and attempt to solve: Simplifying 2 + 3m = 0 Solving 2 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3m = 0 + -2 3m = 0 + -2 Combine like terms: 0 + -2 = -2 3m = -2 Divide each side by '3'. m = -0.6666666667 Simplifying m = -0.6666666667Subproblem 2
Set the factor '(2 + 3m)' equal to zero and attempt to solve: Simplifying 2 + 3m = 0 Solving 2 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3m = 0 + -2 3m = 0 + -2 Combine like terms: 0 + -2 = -2 3m = -2 Divide each side by '3'. m = -0.6666666667 Simplifying m = -0.6666666667Solution
m = {-0.6666666667, -0.6666666667}
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