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Simplifying (2x + 8)(2x + -8) = 0 Reorder the terms: (8 + 2x)(2x + -8) = 0 Reorder the terms: (8 + 2x)(-8 + 2x) = 0 Multiply (8 + 2x) * (-8 + 2x) (8(-8 + 2x) + 2x * (-8 + 2x)) = 0 ((-8 * 8 + 2x * 8) + 2x * (-8 + 2x)) = 0 ((-64 + 16x) + 2x * (-8 + 2x)) = 0 (-64 + 16x + (-8 * 2x + 2x * 2x)) = 0 (-64 + 16x + (-16x + 4x2)) = 0 Combine like terms: 16x + -16x = 0 (-64 + 0 + 4x2) = 0 (-64 + 4x2) = 0 Solving -64 + 4x2 = 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 + 4x2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 4x2 = 0 + 64 4x2 = 0 + 64 Combine like terms: 0 + 64 = 64 4x2 = 64 Divide each side by '4'. x2 = 16 Simplifying x2 = 16 Take the square root of each side: x = {-4, 4}
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