| 2 | ÷ | ( | x | + | 2 | ) | − | 2 | ÷ | ( | x | − | 2 | ) | = | 0 |
| Multiply both sides of the equation by: | ( | x | + | 2 | ) |
| 2 | − | 2 | ÷ | ( | x | − | 2 | ) | × | ( | x | + | 2 | ) | = | 0 |
| 2 | − | 2 | ÷ | ( | x | − | 2 | ) | × | x | − | 2 | ÷ | ( | x | − | 2 | ) | × | 2 | = | 0 |
| 2 | − | 2 | ÷ | ( | x | − | 2 | ) | × | x | − | 4 | ÷ | ( | x | − | 2 | ) | = | 0 |
| Multiply both sides of the equation by: | ( | x | − | 2 | ) |
| 2 | ( | x | − | 2 | ) | − | 2 | x | − | 4 | = | 0 |
| 2 | x | − | 2 | × | 2 | − | 2 | x | − | 4 | = | 0 |
| 2 | x | − | 4 | − | 2 | x | − | 4 | = | 0 |
| 0 | x | − | 8 | = | 0 |
| = | 0 | + | 8 |