| ( | 51 50 | − | 1 5000 | ) | x | + | ( | 49 50 | − | 1 5000 | ) | ( | 1 | − | x | ) | = | 1 |
| 方程左边 = | 51 50 | x | − | 1 5000 | x | + | ( | 49 50 | − | 1 5000 | ) | ( | 1 | − | x | ) |
| = | 5099 5000 | x | + | ( | 49 50 | − | 1 5000 | ) | ( | 1 | − | x | ) |
| = | 5099 5000 | x | + | 49 50 | ( | 1 | − | x | ) | − | 1 5000 | ( | 1 | − | x | ) |
| = | 5099 5000 | x | + | 49 50 | × | 1 | − | 49 50 | x | − | 1 5000 | ( | 1 | − | x | ) |
| = | 5099 5000 | x | + | 49 50 | − | 49 50 | x | − | 1 5000 | ( | 1 | − | x | ) |
| = | 199 5000 | x | + | 49 50 | − | 1 5000 | ( | 1 | − | x | ) |
| = | 199 5000 | x | + | 49 50 | − | 1 5000 | × | 1 | + | 1 5000 | x |
| = | 199 5000 | x | + | 49 50 | − | 1 5000 | + | 1 5000 | x |
| = | 1 25 | x | + | 4899 5000 |
1 25 | x | + | 4899 5000 | = | 1 |
1 25 | x | = | 1 | − | 4899 5000 |
1 25 | x | = | 101 5000 |
| x | = | 101 5000 | ÷ | 1 25 |
| = | 101 5000 | × | 25 |
| = | 101 200 | × | 1 |
| x | = | 101 200 |
| x | = | 0.505 |