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Simplifying (4m + -3)(5m + 9) = 0 Reorder the terms: (-3 + 4m)(5m + 9) = 0 Reorder the terms: (-3 + 4m)(9 + 5m) = 0 Multiply (-3 + 4m) * (9 + 5m) (-3(9 + 5m) + 4m * (9 + 5m)) = 0 ((9 * -3 + 5m * -3) + 4m * (9 + 5m)) = 0 ((-27 + -15m) + 4m * (9 + 5m)) = 0 (-27 + -15m + (9 * 4m + 5m * 4m)) = 0 (-27 + -15m + (36m + 20m2)) = 0 Combine like terms: -15m + 36m = 21m (-27 + 21m + 20m2) = 0 Solving -27 + 21m + 20m2 = 0 Solving for variable 'm'. Factor a trinomial. (-9 + -5m)(3 + -4m) = 0Subproblem 1
Set the factor '(-9 + -5m)' equal to zero and attempt to solve: Simplifying -9 + -5m = 0 Solving -9 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5m = 0 + 9 -5m = 0 + 9 Combine like terms: 0 + 9 = 9 -5m = 9 Divide each side by '-5'. m = -1.8 Simplifying m = -1.8Subproblem 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 = {-1.8, 0.75}
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