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Simplifying (9x + -8)(x + 3) = 0 Reorder the terms: (-8 + 9x)(x + 3) = 0 Reorder the terms: (-8 + 9x)(3 + x) = 0 Multiply (-8 + 9x) * (3 + x) (-8(3 + x) + 9x * (3 + x)) = 0 ((3 * -8 + x * -8) + 9x * (3 + x)) = 0 ((-24 + -8x) + 9x * (3 + x)) = 0 (-24 + -8x + (3 * 9x + x * 9x)) = 0 (-24 + -8x + (27x + 9x2)) = 0 Combine like terms: -8x + 27x = 19x (-24 + 19x + 9x2) = 0 Solving -24 + 19x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(8 + -9x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
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 = 0.8888888889Solution
x = {-3, 0.8888888889}
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