| ( | 100 | x | + | 5 | ) | ( | 100 | x | + | 5 | ) | = | 10000 | × | 10000 | ( | 1 250 | − | x | ) | ( | 1 1000 | − | x | ) |
| 方程左边 = | 100 | x | ( | 100 | x | + | 5 | ) | + | 5 | ( | 100 | x | + | 5 | ) |
| = | 100 | x | × | 100 | x | + | 100 | x | × | 5 | + | 5 | ( | 100 | x | + | 5 | ) |
| = | 10000 | x | x | + | 500 | x | + | 5 | ( | 100 | x | + | 5 | ) |
| = | 10000 | x | x | + | 500 | x | + | 5 | × | 100 | x | + | 5 | × | 5 |
| = | 10000 | x | x | + | 500 | x | + | 500 | x | + | 25 |
| = | 10000 | x | x | + | 1000 | x | + | 25 |
| 10000 | x | x | + | 1000 | x | + | 25 | = | 10000 | × | 10000 | ( | 1 250 | − | x | ) | ( | 1 1000 | − | x | ) |
| 方程右边 = | 100000000 | ( | 1 250 | − | x | ) | ( | 1 1000 | − | x | ) |
| 10000 | x | x | + | 1000 | x | + | 25 | = | 100000000 | ( | 1 250 | − | x | ) | ( | 1 1000 | − | x | ) |
| 方程右边 = | 100000000 | × | 1 250 | ( | 1 1000 | − | x | ) | − | 100000000 | x | ( | 1 1000 | − | x | ) |
| = | 400000 | ( | 1 1000 | − | x | ) | − | 100000000 | x | ( | 1 1000 | − | x | ) |
| = | 400000 | × | 1 1000 | − | 400000 | x | − | 100000000 | x | ( | 1 1000 | − | x | ) |
| = | 400 | − | 400000 | x | − | 100000000 | x | ( | 1 1000 | − | x | ) |
| = | 400 | − | 400000 | x | − | 100000000 | x | × | 1 1000 | + | 100000000 | x | x |
| = | 400 | − | 400000 | x | − | 100000 | x | + | 100000000 | x | x |
| = | 400 | − | 500000 | x | + | 100000000 | x | x |
| 10000 | x | x | + | 1000 | x | + | 25 | = | 400 | − | 500000 | x | + | 100000000 | x | x |