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Simplifying (3 + i) * z + 2i = 6 Reorder the terms for easier multiplication: z(3 + i) + 2i = 6 (3 * z + i * z) + 2i = 6 Reorder the terms: (iz + 3z) + 2i = 6 (iz + 3z) + 2i = 6 Reorder the terms: 2i + iz + 3z = 6 Solving 2i + iz + 3z = 6 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3z' to each side of the equation. 2i + iz + 3z + -3z = 6 + -3z Combine like terms: 3z + -3z = 0 2i + iz + 0 = 6 + -3z 2i + iz = 6 + -3z Reorder the terms: -6 + 2i + iz + 3z = 6 + -3z + -6 + 3z Reorder the terms: -6 + 2i + iz + 3z = 6 + -6 + -3z + 3z Combine like terms: 6 + -6 = 0 -6 + 2i + iz + 3z = 0 + -3z + 3z -6 + 2i + iz + 3z = -3z + 3z Combine like terms: -3z + 3z = 0 -6 + 2i + iz + 3z = 0 The solution to this equation could not be determined.
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