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Simplifying Z2 + (1 + -2i) * z + 1 + -5i = 0 Reorder the terms for easier multiplication: Z2 + z(1 + -2i) + 1 + -5i = 0 Z2 + (1 * z + -2i * z) + 1 + -5i = 0 Reorder the terms: Z2 + (-2iz + 1z) + 1 + -5i = 0 Z2 + (-2iz + 1z) + 1 + -5i = 0 Reorder the terms: 1 + Z2 + -5i + -2iz + 1z = 0 Solving 1 + Z2 + -5i + -2iz + 1z = 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 + -5i + -2iz + -1 + 1z = 0 + -1 Reorder the terms: 1 + -1 + Z2 + -5i + -2iz + 1z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + Z2 + -5i + -2iz + 1z = 0 + -1 Z2 + -5i + -2iz + 1z = 0 + -1 Combine like terms: 0 + -1 = -1 Z2 + -5i + -2iz + 1z = -1 Add '5i' to each side of the equation. Z2 + -5i + -2iz + 5i + 1z = -1 + 5i Reorder the terms: Z2 + -5i + 5i + -2iz + 1z = -1 + 5i Combine like terms: -5i + 5i = 0 Z2 + 0 + -2iz + 1z = -1 + 5i Z2 + -2iz + 1z = -1 + 5i Add '2iz' to each side of the equation. Z2 + -2iz + 2iz + 1z = -1 + 5i + 2iz Combine like terms: -2iz + 2iz = 0 Z2 + 0 + 1z = -1 + 5i + 2iz Z2 + 1z = -1 + 5i + 2iz Add '-1z' to each side of the equation. Z2 + 1z + -1z = -1 + 5i + 2iz + -1z Combine like terms: 1z + -1z = 0 Z2 + 0 = -1 + 5i + 2iz + -1z Z2 = -1 + 5i + 2iz + -1z Simplifying Z2 = -1 + 5i + 2iz + -1z Reorder the terms: 1 + Z2 + -5i + -2iz + z = -1 + 5i + 2iz + -1z + 1 + -5i + -2iz + z Reorder the terms: 1 + Z2 + -5i + -2iz + z = -1 + 1 + 5i + -5i + 2iz + -2iz + -1z + z Combine like terms: -1 + 1 = 0 1 + Z2 + -5i + -2iz + z = 0 + 5i + -5i + 2iz + -2iz + -1z + z 1 + Z2 + -5i + -2iz + z = 5i + -5i + 2iz + -2iz + -1z + z Combine like terms: 5i + -5i = 0 1 + Z2 + -5i + -2iz + z = 0 + 2iz + -2iz + -1z + z 1 + Z2 + -5i + -2iz + z = 2iz + -2iz + -1z + z Combine like terms: 2iz + -2iz = 0 1 + Z2 + -5i + -2iz + z = 0 + -1z + z 1 + Z2 + -5i + -2iz + z = -1z + z Combine like terms: -1z + z = 0 1 + Z2 + -5i + -2iz + z = 0 The solution to this equation could not be determined.
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