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Simplifying (8x + -9)(3x + 1) = 0 Reorder the terms: (-9 + 8x)(3x + 1) = 0 Reorder the terms: (-9 + 8x)(1 + 3x) = 0 Multiply (-9 + 8x) * (1 + 3x) (-9(1 + 3x) + 8x * (1 + 3x)) = 0 ((1 * -9 + 3x * -9) + 8x * (1 + 3x)) = 0 ((-9 + -27x) + 8x * (1 + 3x)) = 0 (-9 + -27x + (1 * 8x + 3x * 8x)) = 0 (-9 + -27x + (8x + 24x2)) = 0 Combine like terms: -27x + 8x = -19x (-9 + -19x + 24x2) = 0 Solving -9 + -19x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -3x)(9 + -8x) = 0Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Solution
x = {-0.3333333333, 1.125}
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