| 9 | x | ÷ | 2 | − | 27 | = | ( | x | − | 2 | ) | ( | x | − | 4 | ) |
| Left side of the equation = | 9 2 | x | − | 27 |
9 2 | x | − | 27 | = | ( | x | − | 2 | ) | ( | x | − | 4 | ) |
| Right side of the equation = | x | ( | x | − | 4 | ) | − | 2 | ( | x | − | 4 | ) |
| = | x | x | − | x | × | 4 | − | 2 | ( | x | − | 4 | ) |
| = | x | x | − | 4 | x | − | 2 | x | + | 2 | × | 4 |
| = | x | x | − | 4 | x | − | 2 | x | + | 8 |
| = | x | x | − | 6 | x | + | 8 |
9 2 | x | − | 27 | = | x | x | − | 6 | x | + | 8 |