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Simplifying z + (2 + i) * z = 3 + 5i Reorder the terms for easier multiplication: z + z(2 + i) = 3 + 5i z + (2 * z + i * z) = 3 + 5i Reorder the terms: z + (iz + 2z) = 3 + 5i z + (iz + 2z) = 3 + 5i Reorder the terms: iz + z + 2z = 3 + 5i Combine like terms: z + 2z = 3z iz + 3z = 3 + 5i Solving iz + 3z = 3 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. iz + -5i + 3z = 3 + 5i + -5i Reorder the terms: -5i + iz + 3z = 3 + 5i + -5i Combine like terms: 5i + -5i = 0 -5i + iz + 3z = 3 + 0 -5i + iz + 3z = 3 Add '-3z' to each side of the equation. -5i + iz + 3z + -3z = 3 + -3z Combine like terms: 3z + -3z = 0 -5i + iz + 0 = 3 + -3z -5i + iz = 3 + -3z Reorder the terms: -3 + -5i + iz + 3z = 3 + -3z + -3 + 3z Reorder the terms: -3 + -5i + iz + 3z = 3 + -3 + -3z + 3z Combine like terms: 3 + -3 = 0 -3 + -5i + iz + 3z = 0 + -3z + 3z -3 + -5i + iz + 3z = -3z + 3z Combine like terms: -3z + 3z = 0 -3 + -5i + iz + 3z = 0 The solution to this equation could not be determined.
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