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Simplifying (3 + -4m)(3 + -4m) = 0 Multiply (3 + -4m) * (3 + -4m) (3(3 + -4m) + -4m * (3 + -4m)) = 0 ((3 * 3 + -4m * 3) + -4m * (3 + -4m)) = 0 ((9 + -12m) + -4m * (3 + -4m)) = 0 (9 + -12m + (3 * -4m + -4m * -4m)) = 0 (9 + -12m + (-12m + 16m2)) = 0 Combine like terms: -12m + -12m = -24m (9 + -24m + 16m2) = 0 Solving 9 + -24m + 16m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + -4m)(3 + -4m) = 0Subproblem 1
Set the factor '(3 + -4m)' equal to zero and attempt to solve: Simplifying 3 + -4m = 0 Solving 3 + -4m = 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 + -4m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4m = 0 + -3 -4m = 0 + -3 Combine like terms: 0 + -3 = -3 -4m = -3 Divide each side by '-4'. m = 0.75 Simplifying m = 0.75Subproblem 2
Set the factor '(3 + -4m)' equal to zero and attempt to solve: Simplifying 3 + -4m = 0 Solving 3 + -4m = 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 + -4m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4m = 0 + -3 -4m = 0 + -3 Combine like terms: 0 + -3 = -3 -4m = -3 Divide each side by '-4'. m = 0.75 Simplifying m = 0.75Solution
m = {0.75, 0.75}
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