| ( | x | + | 3 | ) | ( | x | + | 2 | ) | ( | x | + | 5 | ) | + | x | ( | x | + | 3 | ) | ( | x | + | 5 | ) | + | x | ( | x | + | 2 | ) | ( | x | + | 5 | ) | = | x | ( | x | + | 3 | ) | ( | x | + | 2 | ) |
| Left side of the equation = | x | ( | x | + | 2 | ) | ( | x | + | 5 | ) | + | 3 | ( | x | + | 2 | ) | ( | x | + | 5 | ) | + | x | ( | x | + | 3 | ) | ( | x | + | 5 | ) | + | x | ( | x | + | 2 | ) | ( | x | + | 5 | ) |
| = | x | x | ( | x | + | 5 | ) | + | x | × | 2 | ( | x | + | 5 | ) | + | 3 | ( | x | + | 2 | ) | ( | x | + | 5 | ) | + | x | ( | x | + | 3 | ) | ( | x | + | 5 | ) |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | ( | x | + | 5 | ) | + | 3 | ( | x | + | 2 | ) | ( | x | + | 5 | ) |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | x | × | 2 | × | 5 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | x | × | 10 | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 10 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 10 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 10 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 10 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 25 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 25 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 25 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 31 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 31 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 31 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 31 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 31 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 46 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 46 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 46 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 46 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 46 | x | + | 3 |
| = | x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 56 | x | + | 3 |
| x | x | x | + | x | x | × | 5 | + | x | × | 2 | x | + | 56 | x | + | 3 | = | x | ( | x | + | 3 | ) | ( | x | + | 2 | ) |
| Right side of the equation = | x | x | ( | x | + | 2 | ) | + | x | × | 3 | ( | x | + | 2 | ) |