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