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Simplifying Z2 + (1 + -1i) * z + (3 + i) = 0 Reorder the terms for easier multiplication: Z2 + z(1 + -1i) + (3 + i) = 0 Z2 + (1 * z + -1i * z) + (3 + i) = 0 Reorder the terms: Z2 + (-1iz + 1z) + (3 + i) = 0 Z2 + (-1iz + 1z) + (3 + i) = 0 Remove parenthesis around (3 + i) Z2 + -1iz + 1z + 3 + i = 0 Reorder the terms: 3 + Z2 + i + -1iz + 1z = 0 Solving 3 + Z2 + i + -1iz + 1z = 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 + i + -1iz + -3 + 1z = 0 + -3 Reorder the terms: 3 + -3 + Z2 + i + -1iz + 1z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + Z2 + i + -1iz + 1z = 0 + -3 Z2 + i + -1iz + 1z = 0 + -3 Combine like terms: 0 + -3 = -3 Z2 + i + -1iz + 1z = -3 Add '-1i' to each side of the equation. Z2 + i + -1iz + -1i + 1z = -3 + -1i Reorder the terms: Z2 + i + -1i + -1iz + 1z = -3 + -1i Combine like terms: i + -1i = 0 Z2 + 0 + -1iz + 1z = -3 + -1i Z2 + -1iz + 1z = -3 + -1i Add 'iz' to each side of the equation. Z2 + -1iz + iz + 1z = -3 + -1i + iz Combine like terms: -1iz + iz = 0 Z2 + 0 + 1z = -3 + -1i + iz Z2 + 1z = -3 + -1i + iz Add '-1z' to each side of the equation. Z2 + 1z + -1z = -3 + -1i + iz + -1z Combine like terms: 1z + -1z = 0 Z2 + 0 = -3 + -1i + iz + -1z Z2 = -3 + -1i + iz + -1z Simplifying Z2 = -3 + -1i + iz + -1z Reorder the terms: 3 + Z2 + i + -1iz + z = -3 + -1i + iz + -1z + 3 + i + -1iz + z Reorder the terms: 3 + Z2 + i + -1iz + z = -3 + 3 + -1i + i + iz + -1iz + -1z + z Combine like terms: -3 + 3 = 0 3 + Z2 + i + -1iz + z = 0 + -1i + i + iz + -1iz + -1z + z 3 + Z2 + i + -1iz + z = -1i + i + iz + -1iz + -1z + z Combine like terms: -1i + i = 0 3 + Z2 + i + -1iz + z = 0 + iz + -1iz + -1z + z 3 + Z2 + i + -1iz + z = iz + -1iz + -1z + z Combine like terms: iz + -1iz = 0 3 + Z2 + i + -1iz + z = 0 + -1z + z 3 + Z2 + i + -1iz + z = -1z + z Combine like terms: -1z + z = 0 3 + Z2 + i + -1iz + z = 0 The solution to this equation could not be determined.
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