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Simplifying (3m + -4)(3m + 5) = 0 Reorder the terms: (-4 + 3m)(3m + 5) = 0 Reorder the terms: (-4 + 3m)(5 + 3m) = 0 Multiply (-4 + 3m) * (5 + 3m) (-4(5 + 3m) + 3m * (5 + 3m)) = 0 ((5 * -4 + 3m * -4) + 3m * (5 + 3m)) = 0 ((-20 + -12m) + 3m * (5 + 3m)) = 0 (-20 + -12m + (5 * 3m + 3m * 3m)) = 0 (-20 + -12m + (15m + 9m2)) = 0 Combine like terms: -12m + 15m = 3m (-20 + 3m + 9m2) = 0 Solving -20 + 3m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -3m)(4 + -3m) = 0Subproblem 1
Set the factor '(-5 + -3m)' equal to zero and attempt to solve: Simplifying -5 + -3m = 0 Solving -5 + -3m = 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 + -3m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3m = 0 + 5 -3m = 0 + 5 Combine like terms: 0 + 5 = 5 -3m = 5 Divide each side by '-3'. m = -1.666666667 Simplifying m = -1.666666667Subproblem 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 = {-1.666666667, 1.333333333}
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