| ( | 765 2 | ( | 1 | + | 20 100 | ) | ) | + | ( | 5 100 | x | ) | = | x |
| 方程左边 = | 765 2 | ( | 1 | + | 20 100 | ) | + | ( | 5 100 | x | ) |
| = | 765 2 | × | 1 | + | 765 2 | × | 20 100 | + | ( | 5 100 | x | ) |
| = | 765 2 | + | 153 2 | + | ( | 5 100 | x | ) |
| = | 459 | + | ( | 5 100 | x | ) |
| = | 459 | + | 5 100 | x |
| 459 | + | 5 100 | x | = | x |
5 100 | x | − | x | = | - | 459 |
| - | 19 20 | x | = | - | 459 |
| 459 | = | 19 20 | x |
19 20 | x | = | 459 |
| x | = | 459 | ÷ | 19 20 |
| = | 459 | × | 20 19 |
| x | = | 9180 19 |
| x | = | 483.157895 |