| 30 | ÷ | ( | 11 | + | x | ) | + | 30 | ÷ | ( | 11 | − | x | ) | = | 11 2 |
| 方程两边同时乘以: | ( | 11 | + | x | ) |
| 30 | + | 30 | ÷ | ( | 11 | − | x | ) | × | ( | 11 | + | x | ) | = | 11 2 | ( | 11 | + | x | ) |
| 30 | + | 30 | ÷ | ( | 11 | − | x | ) | × | 11 | + | 30 | ÷ | ( | 11 | − | x | ) | × | x | = | 11 2 | ( | 11 | + | x | ) |
| 30 | + | 30 | ÷ | ( | 11 | − | x | ) | × | 11 | + | 30 | ÷ | ( | 11 | − | x | ) | × | x | = | 11 2 | × | 11 | + | 11 2 | x |
| 30 | + | 330 | ÷ | ( | 11 | − | x | ) | + | 30 | ÷ | ( | 11 | − | x | ) | × | x | = | 121 2 | + | 11 2 | x |
| 方程两边同时乘以: | ( | 11 | − | x | ) |
| 30 | ( | 11 | − | x | ) | + | 330 | + | 30 | x | = | 121 2 | ( | 11 | − | x | ) | + | 11 2 | x | ( | 11 | − | x | ) |
| 30 | × | 11 | − | 30 | x | + | 330 | + | 30 | x | = | 121 2 | ( | 11 | − | x | ) | + | 11 2 | x | ( | 11 | − | x | ) |
| 30 | × | 11 | − | 30 | x | + | 330 | + | 30 | x | = | 121 2 | × | 11 | − | 121 2 | x | + | 11 2 | x | ( | 11 | − | x | ) |
| 330 | − | 30 | x | + | 330 | + | 30 | x | = | 1331 2 | − | 121 2 | x | + | 11 2 | x | ( | 11 | − | x | ) |
| 660 | − | 0 | x | = | 1331 2 | − | 121 2 | x | + | 11 2 | x | ( | 11 | − | x | ) |
| 660 | = | 1331 2 | − | 121 2 | x | + | 11 2 | x | × | 11 | − | 11 2 | x | x |
| 660 | = | 1331 2 | − | 121 2 | x | + | 121 2 | x | − | 11 2 | x | x |
| 660 | = | 1331 2 | − | 0 | x | − | 11 2 | x | x |