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Simplifying (8x + 3)(-9x + 5) = 0 Reorder the terms: (3 + 8x)(-9x + 5) = 0 Reorder the terms: (3 + 8x)(5 + -9x) = 0 Multiply (3 + 8x) * (5 + -9x) (3(5 + -9x) + 8x * (5 + -9x)) = 0 ((5 * 3 + -9x * 3) + 8x * (5 + -9x)) = 0 ((15 + -27x) + 8x * (5 + -9x)) = 0 (15 + -27x + (5 * 8x + -9x * 8x)) = 0 (15 + -27x + (40x + -72x2)) = 0 Combine like terms: -27x + 40x = 13x (15 + 13x + -72x2) = 0 Solving 15 + 13x + -72x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -9x)(3 + 8x) = 0Subproblem 1
Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556Subproblem 2
Set the factor '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375Solution
x = {0.5555555556, -0.375}
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