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Simplifying (8x + -3)(9x + 8) = 0 Reorder the terms: (-3 + 8x)(9x + 8) = 0 Reorder the terms: (-3 + 8x)(8 + 9x) = 0 Multiply (-3 + 8x) * (8 + 9x) (-3(8 + 9x) + 8x * (8 + 9x)) = 0 ((8 * -3 + 9x * -3) + 8x * (8 + 9x)) = 0 ((-24 + -27x) + 8x * (8 + 9x)) = 0 (-24 + -27x + (8 * 8x + 9x * 8x)) = 0 (-24 + -27x + (64x + 72x2)) = 0 Combine like terms: -27x + 64x = 37x (-24 + 37x + 72x2) = 0 Solving -24 + 37x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -9x)(3 + -8x) = 0Subproblem 1
Set the factor '(-8 + -9x)' equal to zero and attempt to solve: Simplifying -8 + -9x = 0 Solving -8 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -9x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = 0 + 8 -9x = 0 + 8 Combine like terms: 0 + 8 = 8 -9x = 8 Divide each side by '-9'. x = -0.8888888889 Simplifying x = -0.8888888889Subproblem 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 = {-0.8888888889, 0.375}
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