| 1 | = | ( | 4 100 | + | 1 | ) | ( | x | + | 1 | ) |
| 方程右边 = | 4 100 | ( | x | + | 1 | ) | + | 1 | ( | x | + | 1 | ) |
| = | 4 100 | x | + | 4 100 | × | 1 | + | 1 | ( | x | + | 1 | ) |
| = | 4 100 | x | + | 1 25 | + | 1 | ( | x | + | 1 | ) |
| = | 4 100 | x | + | 1 25 | + | 1 | x | + | 1 | × | 1 |
| = | 4 100 | x | + | 1 25 | + | 1 | x | + | 1 |
| = | 26 25 | x | + | 26 25 |
| 1 | = | 26 25 | x | + | 26 25 |
| - | 26 25 | x | = | 26 25 | − | 1 |
| - | 26 25 | x | = | 1 25 |
| - | 1 25 | = | 26 25 | x |
26 25 | x | = | - | 1 25 |
| x | = | - | 1 25 | ÷ | 26 25 |
| = | - | 1 25 | × | 25 26 |
| = | - | 1 | × | 1 26 |
| x | = | - | 1 26 |
| x | = | - 0.038462 |