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Simplifying (9x + -9)(x + -8) = 0 Reorder the terms: (-9 + 9x)(x + -8) = 0 Reorder the terms: (-9 + 9x)(-8 + x) = 0 Multiply (-9 + 9x) * (-8 + x) (-9(-8 + x) + 9x * (-8 + x)) = 0 ((-8 * -9 + x * -9) + 9x * (-8 + x)) = 0 ((72 + -9x) + 9x * (-8 + x)) = 0 (72 + -9x + (-8 * 9x + x * 9x)) = 0 (72 + -9x + (-72x + 9x2)) = 0 Combine like terms: -9x + -72x = -81x (72 + -81x + 9x2) = 0 Solving 72 + -81x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(8 + -9x + x2) = 0 Factor a trinomial. 9((1 + -1x)(8 + -1x)) = 0 Ignore the factor 9.Subproblem 1
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 = 1Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {1, 8}
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