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Simplifying (x + -1)(x + 1) = 8 Reorder the terms: (-1 + x)(x + 1) = 8 Reorder the terms: (-1 + x)(1 + x) = 8 Multiply (-1 + x) * (1 + x) (-1(1 + x) + x(1 + x)) = 8 ((1 * -1 + x * -1) + x(1 + x)) = 8 ((-1 + -1x) + x(1 + x)) = 8 (-1 + -1x + (1 * x + x * x)) = 8 (-1 + -1x + (1x + x2)) = 8 Combine like terms: -1x + 1x = 0 (-1 + 0 + x2) = 8 (-1 + x2) = 8 Solving -1 + x2 = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x2 = 8 + 1 Combine like terms: -1 + 1 = 0 0 + x2 = 8 + 1 x2 = 8 + 1 Combine like terms: 8 + 1 = 9 x2 = 9 Simplifying x2 = 9 Take the square root of each side: x = {-3, 3}
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