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Simplifying (8x + -8)(8x + 8) = 0 Reorder the terms: (-8 + 8x)(8x + 8) = 0 Reorder the terms: (-8 + 8x)(8 + 8x) = 0 Multiply (-8 + 8x) * (8 + 8x) (-8(8 + 8x) + 8x * (8 + 8x)) = 0 ((8 * -8 + 8x * -8) + 8x * (8 + 8x)) = 0 ((-64 + -64x) + 8x * (8 + 8x)) = 0 (-64 + -64x + (8 * 8x + 8x * 8x)) = 0 (-64 + -64x + (64x + 64x2)) = 0 Combine like terms: -64x + 64x = 0 (-64 + 0 + 64x2) = 0 (-64 + 64x2) = 0 Solving -64 + 64x2 = 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 + 64x2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 64x2 = 0 + 64 64x2 = 0 + 64 Combine like terms: 0 + 64 = 64 64x2 = 64 Divide each side by '64'. x2 = 1 Simplifying x2 = 1 Take the square root of each side: x = {-1, 1}
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