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Simplifying (3m + -4)(3m + -4) = 0 Reorder the terms: (-4 + 3m)(3m + -4) = 0 Reorder the terms: (-4 + 3m)(-4 + 3m) = 0 Multiply (-4 + 3m) * (-4 + 3m) (-4(-4 + 3m) + 3m * (-4 + 3m)) = 0 ((-4 * -4 + 3m * -4) + 3m * (-4 + 3m)) = 0 ((16 + -12m) + 3m * (-4 + 3m)) = 0 (16 + -12m + (-4 * 3m + 3m * 3m)) = 0 (16 + -12m + (-12m + 9m2)) = 0 Combine like terms: -12m + -12m = -24m (16 + -24m + 9m2) = 0 Solving 16 + -24m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + -3m)(4 + -3m) = 0Subproblem 1
Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333Subproblem 2
Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333Solution
m = {1.333333333, 1.333333333}
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