| 2 | ( | 2 | ( | 2 | ( | 2 | ( | X | + | 1 | ) | ) | ) | ) | = | 4 | ( | 4 | ( | 4 | ( | 4 | ( | X | − | 1 | ) | ) | ) | ) |
| 方程左边 = | 2 | × | 2 | ( | 2 | ( | 2 | ( | X | + | 1 | ) | ) | ) |
| = | 4 | ( | 2 | ( | 2 | ( | X | + | 1 | ) | ) | ) |
| = | 4 | × | 2 | ( | 2 | ( | X | + | 1 | ) | ) |
| = | 8 | ( | 2 | ( | X | + | 1 | ) | ) |
| = | 8 | × | 2 | ( | X | + | 1 | ) |
| = | 16 | ( | X | + | 1 | ) |
| = | 16 | X | + | 16 | × | 1 |
| = | 16 | X | + | 16 |
| 16 | X | + | 16 | = | 4 | ( | 4 | ( | 4 | ( | 4 | ( | X | − | 1 | ) | ) | ) | ) |
| 方程右边 = | 4 | × | 4 | ( | 4 | ( | 4 | ( | X | − | 1 | ) | ) | ) |
| = | 16 | ( | 4 | ( | 4 | ( | X | − | 1 | ) | ) | ) |
| = | 16 | × | 4 | ( | 4 | ( | X | − | 1 | ) | ) |
| = | 64 | ( | 4 | ( | X | − | 1 | ) | ) |
| = | 64 | × | 4 | ( | X | − | 1 | ) |
| = | 256 | ( | X | − | 1 | ) |
| = | 256 | X | − | 256 | × | 1 |
| = | 256 | X | − | 256 |
| 16 | X | + | 16 | = | 256 | X | − | 256 |
| 16 | X | − | 256 | X | = | - | 256 | − | 16 |
| - | 240 | X | = | - | 256 | − | 16 |
| - | 240 | X | = | - | 272 |
| 272 | = | 240 | X |
| 240 | X | = | 272 |
| X | = | 272 | ÷ | 240 |
| = | 272 | × | 1 240 |
| = | 17 | × | 1 15 |
| X | = | 17 15 |
| X | = | 1.133333 |