| 2 | x | ( | 3 | x | − | 5 | ) | − | ( | 2 | x | − | 3 | ) | ( | 3 | x | + | 4 | ) | = | 3 | ( | x | + | 4 | ) |
| Left side of the equation = | 2 | x | × | 3 | x | − | 2 | x | × | 5 | − | ( | 2 | x | − | 3 | ) | ( | 3 | x | + | 4 | ) |
| = | 6 | x | x | − | 10 | x | − | ( | 2 | x | − | 3 | ) | ( | 3 | x | + | 4 | ) |
| = | 6 | x | x | − | 10 | x | − | 2 | x | ( | 3 | x | + | 4 | ) | + | 3 | ( | 3 | x | + | 4 | ) |
| = | 6 | x | x | − | 10 | x | − | 2 | x | × | 3 | x | − | 2 | x | × | 4 |
| = | 6 | x | x | − | 10 | x | − | 6 | x | x | − | 8 | x | + | 3 | ( | 3 | x | + | 4 | ) |
| = | 6 | x | x | − | 18 | x | − | 6 | x | x | + | 3 | ( | 3 | x | + | 4 | ) |
| = | 6 | x | x | − | 18 | x | − | 6 | x | x | + | 3 | × | 3 | x | + | 3 |
| = | 6 | x | x | − | 18 | x | − | 6 | x | x | + | 9 | x | + | 12 |
| = | 6 | x | x | − | 9 | x | − | 6 | x | x | + | 12 |
| 6 | x | x | − | 9 | x | − | 6 | x | x | + | 12 | = | 3 | ( | x | + | 4 | ) |
| Right side of the equation = | 3 | x | + | 3 | × | 4 |
| = | 3 | x | + | 12 |
| 6 | x | x | − | 9 | x | − | 6 | x | x | + | 12 | = | 3 | x | + | 12 |