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