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Simplifying (4 + z)(4 + -1z) = 0 Multiply (4 + z) * (4 + -1z) (4(4 + -1z) + z(4 + -1z)) = 0 ((4 * 4 + -1z * 4) + z(4 + -1z)) = 0 ((16 + -4z) + z(4 + -1z)) = 0 (16 + -4z + (4 * z + -1z * z)) = 0 (16 + -4z + (4z + -1z2)) = 0 Combine like terms: -4z + 4z = 0 (16 + 0 + -1z2) = 0 (16 + -1z2) = 0 Solving 16 + -1z2 = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1z2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1z2 = 0 + -16 -1z2 = 0 + -16 Combine like terms: 0 + -16 = -16 -1z2 = -16 Divide each side by '-1'. z2 = 16 Simplifying z2 = 16 Take the square root of each side: z = {-4, 4}
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