| ( | 1 | + | x | ) | ( | 2 | + | x | ) | ( | 3 | + | x | ) | = | 105 |
| Left side of the equation = | 1 | ( | 2 | + | x | ) | ( | 3 | + | x | ) | + | x | ( | 2 | + | x | ) | ( | 3 | + | x | ) |
| = | 1 | × | 2 | ( | 3 | + | x | ) | + | 1 | x | ( | 3 | + | x | ) | + | x | ( | 2 | + | x | ) | ( | 3 | + | x | ) |
| = | 2 | ( | 3 | + | x | ) | + | 1 | x | ( | 3 | + | x | ) | + | x | ( | 2 | + | x | ) | ( | 3 | + | x | ) |
| = | 2 | × | 3 | + | 2 | x | + | 1 | x | ( | 3 | + | x | ) | + | x | ( | 2 | + | x | ) | ( | 3 | + | x | ) |
| = | 6 | + | 2 | x | + | 1 | x | ( | 3 | + | x | ) | + | x | ( | 2 | + | x | ) | ( | 3 | + | x | ) |
| = | 6 | + | 2 | x | + | 1 | x | × | 3 | + | 1 | x | x | + | x | ( | 2 | + | x | ) | ( | 3 | + | x | ) |
| = | 6 | + | 2 | x | + | 3 | x | + | 1 | x | x | + | x | ( | 2 | + | x | ) | ( | 3 | + | x | ) |
| = | 6 | + | 5 | x | + | 1 | x | x | + | x | ( | 2 | + | x | ) | ( | 3 | + | x | ) |
| = | 6 | + | 5 | x | + | 1 | x | x | + | x | × | 2 | ( | 3 | + | x | ) | + | x | x | ( | 3 | + | x | ) |
| = | 6 | + | 5 | x | + | 1 | x | x | + | x | × | 2 | × | 3 | + | x | × | 2 | x |
| = | 6 | + | 5 | x | + | 1 | x | x | + | x | × | 6 | + | x | × | 2 | x | + | x |
| = | 6 | + | 11 | x | + | 1 | x | x | + | x | × | 2 | x | + | x | x | ( | 3 | + | x | ) |
| = | 6 | + | 11 | x | + | 1 | x | x | + | x | × | 2 | x | + | x | x | × | 3 |
| 6 | + | 11 | x | + | 1 | x | x | + | x | × | 2 | x | + | x | x | × | 3 | = | 105 |