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Simplifying z3 + 3i * z = 1 + i Multiply i * z z3 + 3iz = 1 + i Reorder the terms: 3iz + z3 = 1 + i Solving 3iz + z3 = 1 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 3iz + -1i + z3 = 1 + i + -1i Reorder the terms: -1i + 3iz + z3 = 1 + i + -1i Combine like terms: i + -1i = 0 -1i + 3iz + z3 = 1 + 0 -1i + 3iz + z3 = 1 Add '-1z3' to each side of the equation. -1i + 3iz + z3 + -1z3 = 1 + -1z3 Combine like terms: z3 + -1z3 = 0 -1i + 3iz + 0 = 1 + -1z3 -1i + 3iz = 1 + -1z3 Reorder the terms: -1 + -1i + 3iz + z3 = 1 + -1z3 + -1 + z3 Reorder the terms: -1 + -1i + 3iz + z3 = 1 + -1 + -1z3 + z3 Combine like terms: 1 + -1 = 0 -1 + -1i + 3iz + z3 = 0 + -1z3 + z3 -1 + -1i + 3iz + z3 = -1z3 + z3 Combine like terms: -1z3 + z3 = 0 -1 + -1i + 3iz + z3 = 0 The solution to this equation could not be determined.
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