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