| 2 | ÷ | ( | x | + | 1 | ) | + | 1 | ÷ | ( | x | + | 2 | ) | = | 3 | ÷ | x |
| 方程两边同时乘以: | ( | x | + | 1 | ) | , | x |
| 2 | x | + | 1 | ÷ | ( | x | + | 2 | ) | × | ( | x | + | 1 | ) | x | = | 3 | ( | x | + | 1 | ) |
| 2 | x | + | 1 | ÷ | ( | x | + | 2 | ) | × | x | x | + | 1 | ÷ | ( | x | + | 2 | ) | × | 1 | x | = | 3 | ( | x | + | 1 | ) |
| 2 | x | + | 1 | ÷ | ( | x | + | 2 | ) | × | x | x | + | 1 | ÷ | ( | x | + | 2 | ) | × | 1 | x | = | 3 | x | + | 3 | × | 1 |
| 2 | x | + | 1 | ÷ | ( | x | + | 2 | ) | × | x | x | + | 1 | ÷ | ( | x | + | 2 | ) | × | x | = | 3 | x | + | 3 |
| 方程两边同时乘以: | ( | x | + | 2 | ) |
| 2 | x | ( | x | + | 2 | ) | + | 1 | x | x | + | 1 | x | = | 3 | x | ( | x | + | 2 | ) | + | 3 | ( | x | + | 2 | ) |
| 2 | x | x | + | 2 | x | × | 2 | + | 1 | x | x | + | 1 | x | = | 3 | x | ( | x | + | 2 | ) | + | 3 | ( | x | + | 2 | ) |
| 2 | x | x | + | 2 | x | × | 2 | + | 1 | x | x | + | 1 | x | = | 3 | x | x | + | 3 | x | × | 2 | + | 3 | ( | x | + | 2 | ) |
| 2 | x | x | + | 4 | x | + | 1 | x | x | + | 1 | x | = | 3 | x | x | + | 6 | x | + | 3 | ( | x | + | 2 | ) |
| 2 | x | x | + | 5 | x | + | 1 | x | x | = | 3 | x | x | + | 6 | x | + | 3 | ( | x | + | 2 | ) |
| 2 | x | x | + | 5 | x | + | 1 | x | x | = | 3 | x | x | + | 6 | x | + | 3 | x | + | 3 | × | 2 |
| 2 | x | x | + | 5 | x | + | 1 | x | x | = | 3 | x | x | + | 6 | x | + | 3 | x | + | 6 |
| 2 | x | x | + | 5 | x | + | 1 | x | x | = | 3 | x | x | + | 9 | x | + | 6 |
| x1= | - | 3 2 |