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Simplifying (x + -1)(x + 8) = 9x Reorder the terms: (-1 + x)(x + 8) = 9x Reorder the terms: (-1 + x)(8 + x) = 9x Multiply (-1 + x) * (8 + x) (-1(8 + x) + x(8 + x)) = 9x ((8 * -1 + x * -1) + x(8 + x)) = 9x ((-8 + -1x) + x(8 + x)) = 9x (-8 + -1x + (8 * x + x * x)) = 9x (-8 + -1x + (8x + x2)) = 9x Combine like terms: -1x + 8x = 7x (-8 + 7x + x2) = 9x Solving -8 + 7x + x2 = 9x Solving for variable 'x'. Reorder the terms: -8 + 7x + -9x + x2 = 9x + -9x Combine like terms: 7x + -9x = -2x -8 + -2x + x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -2x + x2 = 0 Factor a trinomial. (-2 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-2, 4}
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