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