| 1 | ÷ | x | + | 1 | ÷ | ( | x | + | 5 | ) | + | 1 | ÷ | ( | x | + | 2 | ) | = | 0 |
| Multiply both sides of the equation by: | x |
| 1 | + | 1 | ÷ | ( | x | + | 5 | ) | × | x | + | 1 | ÷ | ( | x | + | 2 | ) | × | x | = | 0 |
| Multiply both sides of the equation by: | ( | x | + | 5 | ) |
| 1 | ( | x | + | 5 | ) | + | 1 | x | + | 1 | ÷ | ( | x | + | 2 | ) | × | x | ( | x | + | 5 | ) | = | 0 |
| 1 | x | + | 1 | × | 5 | + | 1 | x | + | 1 | ÷ | ( | x | + | 2 | ) | × | x | ( | x | + | 5 | ) | = | 0 |
| 1 | x | + | 5 | + | 1 | x | + | 1 | ÷ | ( | x | + | 2 | ) | × | x | ( | x | + | 5 | ) | = | 0 |
| 2 | x | + | 5 | + | 1 | ÷ | ( | x | + | 2 | ) | × | x | ( | x | + | 5 | ) | = | 0 |
| Multiply both sides of the equation by: | ( | x | + | 2 | ) |
| 2 | x | ( | x | + | 2 | ) | + | 5 | ( | x | + | 2 | ) | + | 1 | x | ( | x | + | 5 | ) | = | 0 |
| 2 | x | x | + | 2 | x | × | 2 | + | 5 | ( | x | + | 2 | ) | + | 1 | x | ( | x | + | 5 | ) | = | 0 |
| 2 | x | x | + | 4 | x | + | 5 | ( | x | + | 2 | ) | + | 1 | x | ( | x | + | 5 | ) | = | 0 |
| 2 | x | x | + | 4 | x | + | 5 | x | + | 5 | × | 2 | + | 1 | x | ( | x | + | 5 | ) | = | 0 |
| 2 | x | x | + | 4 | x | + | 5 | x | + | 10 | + | 1 | x | ( | x | + | 5 | ) | = | 0 |
| 2 | x | x | + | 9 | x | + | 10 | + | 1 | x | ( | x | + | 5 | ) | = | 0 |
| 2 | x | x | + | 9 | x | + | 10 | + | 1 | x | x | + | 1 | x | × | 5 | = | 0 |
| 2 | x | x | + | 9 | x | + | 10 | + | 1 | x | x | + | 5 | x | = | 0 |
| 2 | x | x | + | 14 | x | + | 10 | + | 1 | x | x | = | 0 |