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Simplifying (3m + -2)(3m + -2) = 0 Reorder the terms: (-2 + 3m)(3m + -2) = 0 Reorder the terms: (-2 + 3m)(-2 + 3m) = 0 Multiply (-2 + 3m) * (-2 + 3m) (-2(-2 + 3m) + 3m * (-2 + 3m)) = 0 ((-2 * -2 + 3m * -2) + 3m * (-2 + 3m)) = 0 ((4 + -6m) + 3m * (-2 + 3m)) = 0 (4 + -6m + (-2 * 3m + 3m * 3m)) = 0 (4 + -6m + (-6m + 9m2)) = 0 Combine like terms: -6m + -6m = -12m (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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