| 480 | ( | x | − | 1 20 | ) | ( | x | − | 3 100 | ) | + | 480 | x | ( | x | − | 3 100 | ) | + | 960 | x | ( | x | − | 1 20 | ) | = | 0 |
| Left side of the equation = | 480 | x | ( | x | − | 3 100 | ) | − | 480 | × | 1 20 | ( | x | − | 3 100 | ) | + | 480 | x | ( | x | − | 3 100 | ) | + | 960 | x | ( | x | − | 1 20 | ) |
| = | 480 | x | ( | x | − | 3 100 | ) | − | 24 | ( | x | − | 3 100 | ) | + | 480 | x | ( | x | − | 3 100 | ) | + | 960 | x | ( | x | − | 1 20 | ) |
| = | 480 | x | x | − | 480 | x | × | 3 100 | − | 24 | ( | x | − | 3 100 | ) | + | 480 | x | ( | x | − | 3 100 | ) | + | 960 |
| = | 480 | x | x | − | 72 5 | x | − | 24 | ( | x | − | 3 100 | ) | + | 480 | x | ( | x | − | 3 100 | ) | + | 960 | x |
| = | 480 | x | x | − | 72 5 | x | − | 24 | x | + | 24 | × | 3 100 | + | 480 | x | ( | x | − | 3 100 | ) |
| = | 480 | x | x | − | 72 5 | x | − | 24 | x | + | 18 25 | + | 480 | x | ( | x | − | 3 100 | ) | + | 960 |
| = | 480 | x | x | − | 192 5 | x | + | 18 25 | + | 480 | x | ( | x | − | 3 100 | ) | + | 960 | x | ( | x | − | 1 20 | ) |
| = | 480 | x | x | − | 192 5 | x | + | 18 25 | + | 480 | x | x | − | 480 | x | × | 3 100 |
| = | 480 | x | x | − | 192 5 | x | + | 18 25 | + | 480 | x | x | − | 72 5 | x | + | 960 |
| = | 480 | x | x | − | 264 5 | x | + | 18 25 | + | 480 | x | x | + | 960 | x | ( | x | − | 1 20 | ) |
| = | 480 | x | x | − | 264 5 | x | + | 18 25 | + | 480 | x | x | + | 960 | x | x |
| = | 480 | x | x | − | 264 5 | x | + | 18 25 | + | 480 | x | x | + | 960 | x | x |
| = | 480 | x | x | − | 504 5 | x | + | 18 25 | + | 480 | x | x | + | 960 | x | x |
| 480 | x | x | − | 504 5 | x | + | 18 25 | + | 480 | x | x | + | 960 | x | x | = | 0 |