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Simplifying (8 + -1x)(8 + x) = 0 Multiply (8 + -1x) * (8 + x) (8(8 + x) + -1x * (8 + x)) = 0 ((8 * 8 + x * 8) + -1x * (8 + x)) = 0 ((64 + 8x) + -1x * (8 + x)) = 0 (64 + 8x + (8 * -1x + x * -1x)) = 0 (64 + 8x + (-8x + -1x2)) = 0 Combine like terms: 8x + -8x = 0 (64 + 0 + -1x2) = 0 (64 + -1x2) = 0 Solving 64 + -1x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -1x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -1x2 = 0 + -64 -1x2 = 0 + -64 Combine like terms: 0 + -64 = -64 -1x2 = -64 Divide each side by '-1'. x2 = 64 Simplifying x2 = 64 Take the square root of each side: x = {-8, 8}
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