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Simplifying z + (1 + i) * z = 7 + 3i Reorder the terms for easier multiplication: z + z(1 + i) = 7 + 3i z + (1 * z + i * z) = 7 + 3i Reorder the terms: z + (iz + 1z) = 7 + 3i z + (iz + 1z) = 7 + 3i Reorder the terms: iz + z + 1z = 7 + 3i Combine like terms: z + 1z = 2z iz + 2z = 7 + 3i Solving iz + 2z = 7 + 3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. iz + -3i + 2z = 7 + 3i + -3i Reorder the terms: -3i + iz + 2z = 7 + 3i + -3i Combine like terms: 3i + -3i = 0 -3i + iz + 2z = 7 + 0 -3i + iz + 2z = 7 Add '-2z' to each side of the equation. -3i + iz + 2z + -2z = 7 + -2z Combine like terms: 2z + -2z = 0 -3i + iz + 0 = 7 + -2z -3i + iz = 7 + -2z Reorder the terms: -7 + -3i + iz + 2z = 7 + -2z + -7 + 2z Reorder the terms: -7 + -3i + iz + 2z = 7 + -7 + -2z + 2z Combine like terms: 7 + -7 = 0 -7 + -3i + iz + 2z = 0 + -2z + 2z -7 + -3i + iz + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 -7 + -3i + iz + 2z = 0 The solution to this equation could not be determined.
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