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Simplifying (3m + -4)(m + -3) = 0 Reorder the terms: (-4 + 3m)(m + -3) = 0 Reorder the terms: (-4 + 3m)(-3 + m) = 0 Multiply (-4 + 3m) * (-3 + m) (-4(-3 + m) + 3m * (-3 + m)) = 0 ((-3 * -4 + m * -4) + 3m * (-3 + m)) = 0 ((12 + -4m) + 3m * (-3 + m)) = 0 (12 + -4m + (-3 * 3m + m * 3m)) = 0 (12 + -4m + (-9m + 3m2)) = 0 Combine like terms: -4m + -9m = -13m (12 + -13m + 3m2) = 0 Solving 12 + -13m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + -3m)(3 + -1m) = 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 '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 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 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {1.333333333, 3}
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