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Simplifying (9x + -9)(8x + 3) = 0 Reorder the terms: (-9 + 9x)(8x + 3) = 0 Reorder the terms: (-9 + 9x)(3 + 8x) = 0 Multiply (-9 + 9x) * (3 + 8x) (-9(3 + 8x) + 9x * (3 + 8x)) = 0 ((3 * -9 + 8x * -9) + 9x * (3 + 8x)) = 0 ((-27 + -72x) + 9x * (3 + 8x)) = 0 (-27 + -72x + (3 * 9x + 8x * 9x)) = 0 (-27 + -72x + (27x + 72x2)) = 0 Combine like terms: -72x + 27x = -45x (-27 + -45x + 72x2) = 0 Solving -27 + -45x + 72x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(-3 + -5x + 8x2) = 0 Factor a trinomial. 9((-3 + -8x)(1 + -1x)) = 0 Ignore the factor 9.Subproblem 1
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 = -0.375Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.375, 1}
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