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Simplifying (1 + i) * z + -5 + 4i = 0 Reorder the terms for easier multiplication: z(1 + i) + -5 + 4i = 0 (1 * z + i * z) + -5 + 4i = 0 Reorder the terms: (iz + 1z) + -5 + 4i = 0 (iz + 1z) + -5 + 4i = 0 Reorder the terms: -5 + 4i + iz + 1z = 0 Solving -5 + 4i + iz + 1z = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 4i + iz + 5 + 1z = 0 + 5 Reorder the terms: -5 + 5 + 4i + iz + 1z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4i + iz + 1z = 0 + 5 4i + iz + 1z = 0 + 5 Combine like terms: 0 + 5 = 5 4i + iz + 1z = 5 Add '-1z' to each side of the equation. 4i + iz + 1z + -1z = 5 + -1z Combine like terms: 1z + -1z = 0 4i + iz + 0 = 5 + -1z 4i + iz = 5 + -1z Reorder the terms: -5 + 4i + iz + z = 5 + -1z + -5 + z Reorder the terms: -5 + 4i + iz + z = 5 + -5 + -1z + z Combine like terms: 5 + -5 = 0 -5 + 4i + iz + z = 0 + -1z + z -5 + 4i + iz + z = -1z + z Combine like terms: -1z + z = 0 -5 + 4i + iz + z = 0 The solution to this equation could not be determined.
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