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Simplifying Z2 + 2z + (1 + -8i) = 0 Remove parenthesis around (1 + -8i) Z2 + 2z + 1 + -8i = 0 Reorder the terms: 1 + Z2 + -8i + 2z = 0 Solving 1 + Z2 + -8i + 2z = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + Z2 + -8i + -1 + 2z = 0 + -1 Reorder the terms: 1 + -1 + Z2 + -8i + 2z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + Z2 + -8i + 2z = 0 + -1 Z2 + -8i + 2z = 0 + -1 Combine like terms: 0 + -1 = -1 Z2 + -8i + 2z = -1 Add '8i' to each side of the equation. Z2 + -8i + 8i + 2z = -1 + 8i Combine like terms: -8i + 8i = 0 Z2 + 0 + 2z = -1 + 8i Z2 + 2z = -1 + 8i Add '-2z' to each side of the equation. Z2 + 2z + -2z = -1 + 8i + -2z Combine like terms: 2z + -2z = 0 Z2 + 0 = -1 + 8i + -2z Z2 = -1 + 8i + -2z Simplifying Z2 = -1 + 8i + -2z Reorder the terms: 1 + Z2 + -8i + 2z = -1 + 8i + -2z + 1 + -8i + 2z Reorder the terms: 1 + Z2 + -8i + 2z = -1 + 1 + 8i + -8i + -2z + 2z Combine like terms: -1 + 1 = 0 1 + Z2 + -8i + 2z = 0 + 8i + -8i + -2z + 2z 1 + Z2 + -8i + 2z = 8i + -8i + -2z + 2z Combine like terms: 8i + -8i = 0 1 + Z2 + -8i + 2z = 0 + -2z + 2z 1 + Z2 + -8i + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 1 + Z2 + -8i + 2z = 0 The solution to this equation could not be determined.
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