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