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Simplifying (4 + x)(4 + -1x) = 0 Multiply (4 + x) * (4 + -1x) (4(4 + -1x) + x(4 + -1x)) = 0 ((4 * 4 + -1x * 4) + x(4 + -1x)) = 0 ((16 + -4x) + x(4 + -1x)) = 0 (16 + -4x + (4 * x + -1x * x)) = 0 (16 + -4x + (4x + -1x2)) = 0 Combine like terms: -4x + 4x = 0 (16 + 0 + -1x2) = 0 (16 + -1x2) = 0 Solving 16 + -1x2 = 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 + -1x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x2 = 0 + -16 -1x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -1x2 = -16 Divide each side by '-1'. x2 = 16 Simplifying x2 = 16 Take the square root of each side: x = {-4, 4}
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