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Simplifying (6 + -1z)(6 + z) = 0 Multiply (6 + -1z) * (6 + z) (6(6 + z) + -1z * (6 + z)) = 0 ((6 * 6 + z * 6) + -1z * (6 + z)) = 0 ((36 + 6z) + -1z * (6 + z)) = 0 (36 + 6z + (6 * -1z + z * -1z)) = 0 (36 + 6z + (-6z + -1z2)) = 0 Combine like terms: 6z + -6z = 0 (36 + 0 + -1z2) = 0 (36 + -1z2) = 0 Solving 36 + -1z2 = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1z2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1z2 = 0 + -36 -1z2 = 0 + -36 Combine like terms: 0 + -36 = -36 -1z2 = -36 Divide each side by '-1'. z2 = 36 Simplifying z2 = 36 Take the square root of each side: z = {-6, 6}
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