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