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Simplifying (4 + 2x)(4 + -2x) = 0 Multiply (4 + 2x) * (4 + -2x) (4(4 + -2x) + 2x * (4 + -2x)) = 0 ((4 * 4 + -2x * 4) + 2x * (4 + -2x)) = 0 ((16 + -8x) + 2x * (4 + -2x)) = 0 (16 + -8x + (4 * 2x + -2x * 2x)) = 0 (16 + -8x + (8x + -4x2)) = 0 Combine like terms: -8x + 8x = 0 (16 + 0 + -4x2) = 0 (16 + -4x2) = 0 Solving 16 + -4x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -4x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4x2 = 0 + -16 -4x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -4x2 = -16 Divide each side by '-4'. x2 = 4 Simplifying x2 = 4 Take the square root of each side: x = {-2, 2}
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