| ( | 5 | − | 5000 | x | ) | ( | 8 | + | 2 | x | ) | = | 48 |
| 方程左边 = | 5 | ( | 8 | + | 2 | x | ) | − | 5000 | x | ( | 8 | + | 2 | x | ) |
| = | 5 | × | 8 | + | 5 | × | 2 | x | − | 5000 | x | ( | 8 | + | 2 | x | ) |
| = | 40 | + | 10 | x | − | 5000 | x | ( | 8 | + | 2 | x | ) |
| = | 40 | + | 10 | x | − | 5000 | x | × | 8 | − | 5000 | x | × | 2 | x |
| = | 40 | + | 10 | x | − | 40000 | x | − | 10000 | x | x |
| = | 40 | − | 39990 | x | − | 10000 | x | x |
| 40 | − | 39990 | x | − | 10000 | x | x | = | 48 |
| x1=0 | ,它是方程的增解。 |