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Simplifying (3 + i) * z + 2i = 6i Reorder the terms for easier multiplication: z(3 + i) + 2i = 6i (3 * z + i * z) + 2i = 6i Reorder the terms: (iz + 3z) + 2i = 6i (iz + 3z) + 2i = 6i Reorder the terms: 2i + iz + 3z = 6i Solving 2i + iz + 3z = 6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6i' to each side of the equation. 2i + iz + -6i + 3z = 6i + -6i Reorder the terms: 2i + -6i + iz + 3z = 6i + -6i Combine like terms: 2i + -6i = -4i -4i + iz + 3z = 6i + -6i Combine like terms: 6i + -6i = 0 -4i + iz + 3z = 0 Add '-3z' to each side of the equation. -4i + iz + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 -4i + iz + 0 = 0 + -3z -4i + iz = 0 + -3z Remove the zero: -4i + iz = -3z Combine like terms: -3z + 3z = 0 -4i + iz + 3z = 0 The solution to this equation could not be determined.
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