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Simplifying Z2 + (-2 + I) * z + (3 + -2i) = 0 Reorder the terms for easier multiplication: Z2 + z(-2 + I) + (3 + -2i) = 0 Z2 + (-2 * z + I * z) + (3 + -2i) = 0 Z2 + (-2z + zI) + (3 + -2i) = 0 Remove parenthesis around (3 + -2i) Z2 + -2z + zI + 3 + -2i = 0 Reorder the terms: 3 + Z2 + -2i + -2z + zI = 0 Solving 3 + Z2 + -2i + -2z + zI = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + Z2 + -2i + -2z + -3 + zI = 0 + -3 Reorder the terms: 3 + -3 + Z2 + -2i + -2z + zI = 0 + -3 Combine like terms: 3 + -3 = 0 0 + Z2 + -2i + -2z + zI = 0 + -3 Z2 + -2i + -2z + zI = 0 + -3 Combine like terms: 0 + -3 = -3 Z2 + -2i + -2z + zI = -3 Add '2i' to each side of the equation. Z2 + -2i + -2z + 2i + zI = -3 + 2i Reorder the terms: Z2 + -2i + 2i + -2z + zI = -3 + 2i Combine like terms: -2i + 2i = 0 Z2 + 0 + -2z + zI = -3 + 2i Z2 + -2z + zI = -3 + 2i Add '2z' to each side of the equation. Z2 + -2z + 2z + zI = -3 + 2i + 2z Combine like terms: -2z + 2z = 0 Z2 + 0 + zI = -3 + 2i + 2z Z2 + zI = -3 + 2i + 2z Add '-1zI' to each side of the equation. Z2 + zI + -1zI = -3 + 2i + 2z + -1zI Combine like terms: zI + -1zI = 0 Z2 + 0 = -3 + 2i + 2z + -1zI Z2 = -3 + 2i + 2z + -1zI Simplifying Z2 = -3 + 2i + 2z + -1zI Reorder the terms: 3 + Z2 + -2i + -2z + zI = -3 + 2i + 2z + -1zI + 3 + -2i + -2z + zI Reorder the terms: 3 + Z2 + -2i + -2z + zI = -3 + 3 + 2i + -2i + 2z + -2z + -1zI + zI Combine like terms: -3 + 3 = 0 3 + Z2 + -2i + -2z + zI = 0 + 2i + -2i + 2z + -2z + -1zI + zI 3 + Z2 + -2i + -2z + zI = 2i + -2i + 2z + -2z + -1zI + zI Combine like terms: 2i + -2i = 0 3 + Z2 + -2i + -2z + zI = 0 + 2z + -2z + -1zI + zI 3 + Z2 + -2i + -2z + zI = 2z + -2z + -1zI + zI Combine like terms: 2z + -2z = 0 3 + Z2 + -2i + -2z + zI = 0 + -1zI + zI 3 + Z2 + -2i + -2z + zI = -1zI + zI Combine like terms: -1zI + zI = 0 3 + Z2 + -2i + -2z + zI = 0 The solution to this equation could not be determined.
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