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Simplifying (m + -5)(3m + -4) = 0 Reorder the terms: (-5 + m)(3m + -4) = 0 Reorder the terms: (-5 + m)(-4 + 3m) = 0 Multiply (-5 + m) * (-4 + 3m) (-5(-4 + 3m) + m(-4 + 3m)) = 0 ((-4 * -5 + 3m * -5) + m(-4 + 3m)) = 0 ((20 + -15m) + m(-4 + 3m)) = 0 (20 + -15m + (-4 * m + 3m * m)) = 0 (20 + -15m + (-4m + 3m2)) = 0 Combine like terms: -15m + -4m = -19m (20 + -19m + 3m2) = 0 Solving 20 + -19m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + -3m)(5 + -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 '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {1.333333333, 5}
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