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Simplifying Z2 + -4(1 + -1i) * z + -1 + 8i = 0 Reorder the terms for easier multiplication: Z2 + -4z(1 + -1i) + -1 + 8i = 0 Z2 + (1 * -4z + -1i * -4z) + -1 + 8i = 0 Reorder the terms: Z2 + (4iz + -4z) + -1 + 8i = 0 Z2 + (4iz + -4z) + -1 + 8i = 0 Reorder the terms: -1 + Z2 + 8i + 4iz + -4z = 0 Solving -1 + Z2 + 8i + 4iz + -4z = 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 + 4iz + 1 + -4z = 0 + 1 Reorder the terms: -1 + 1 + Z2 + 8i + 4iz + -4z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + Z2 + 8i + 4iz + -4z = 0 + 1 Z2 + 8i + 4iz + -4z = 0 + 1 Combine like terms: 0 + 1 = 1 Z2 + 8i + 4iz + -4z = 1 Add '-8i' to each side of the equation. Z2 + 8i + 4iz + -8i + -4z = 1 + -8i Reorder the terms: Z2 + 8i + -8i + 4iz + -4z = 1 + -8i Combine like terms: 8i + -8i = 0 Z2 + 0 + 4iz + -4z = 1 + -8i Z2 + 4iz + -4z = 1 + -8i Add '-4iz' to each side of the equation. Z2 + 4iz + -4iz + -4z = 1 + -8i + -4iz Combine like terms: 4iz + -4iz = 0 Z2 + 0 + -4z = 1 + -8i + -4iz Z2 + -4z = 1 + -8i + -4iz Add '4z' to each side of the equation. Z2 + -4z + 4z = 1 + -8i + -4iz + 4z Combine like terms: -4z + 4z = 0 Z2 + 0 = 1 + -8i + -4iz + 4z Z2 = 1 + -8i + -4iz + 4z Simplifying Z2 = 1 + -8i + -4iz + 4z Reorder the terms: -1 + Z2 + 8i + 4iz + -4z = 1 + -8i + -4iz + 4z + -1 + 8i + 4iz + -4z Reorder the terms: -1 + Z2 + 8i + 4iz + -4z = 1 + -1 + -8i + 8i + -4iz + 4iz + 4z + -4z Combine like terms: 1 + -1 = 0 -1 + Z2 + 8i + 4iz + -4z = 0 + -8i + 8i + -4iz + 4iz + 4z + -4z -1 + Z2 + 8i + 4iz + -4z = -8i + 8i + -4iz + 4iz + 4z + -4z Combine like terms: -8i + 8i = 0 -1 + Z2 + 8i + 4iz + -4z = 0 + -4iz + 4iz + 4z + -4z -1 + Z2 + 8i + 4iz + -4z = -4iz + 4iz + 4z + -4z Combine like terms: -4iz + 4iz = 0 -1 + Z2 + 8i + 4iz + -4z = 0 + 4z + -4z -1 + Z2 + 8i + 4iz + -4z = 4z + -4z Combine like terms: 4z + -4z = 0 -1 + Z2 + 8i + 4iz + -4z = 0 The solution to this equation could not be determined.
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