| 1000 | ( | 1 | + | i | ) | − | 2 | + | 3000 | ( | 1 | + | i | ) | − | 3 | + | 1000 | ( | 1 | + | i | ) | − | 4 | = | 3000 |
| 方程左边 = | 1000 | ( | 1 | + | i | ) | − | 9 | + | 3000 | ( | 1 | + | i | ) | + | 1000 | ( | 1 | + | i | ) |
| 1000 | ( | 1 | + | i | ) | − | 9 | + | 3000 | ( | 1 | + | i | ) | + | 1000 | ( | 1 | + | i | ) | = | 3000 |
| 方程左边 = | 1000 | × | 1 | + | 1000 | i | − | 9 | + | 3000 | ( | 1 | + | i | ) | + | 1000 | ( | 1 | + | i | ) |
| = | 1000 | + | 1000 | i | − | 9 | + | 3000 | ( | 1 | + | i | ) | + | 1000 | ( | 1 | + | i | ) |
| = | 991 | + | 1000 | i | + | 3000 | ( | 1 | + | i | ) | + | 1000 | ( | 1 | + | i | ) |
| = | 991 | + | 1000 | i | + | 3000 | × | 1 | + | 3000 | i | + | 1000 | ( | 1 | + | i | ) |
| = | 991 | + | 1000 | i | + | 3000 | + | 3000 | i | + | 1000 | ( | 1 | + | i | ) |
| = | 3991 | + | 4000 | i | + | 1000 | ( | 1 | + | i | ) |
| = | 3991 | + | 4000 | i | + | 1000 | × | 1 | + | 1000 | i |
| = | 3991 | + | 4000 | i | + | 1000 | + | 1000 | i |
| = | 4991 | + | 5000 | i |
| 4991 | + | 5000 | i | = | 3000 |
| 5000 | i | = | 3000 | − | 4991 |
| 5000 | i | = | - | 1991 |
| i | = | - | 1991 | ÷ | 5000 |
| = | - | 1991 | × | 1 5000 |
| i | = | - | 1991 5000 |
| i | = | - 0.3982 |