| 100 | − | ( | 46 | ÷ | ( | x | + | 5 4 | ) | + | 46 | ÷ | ( | 1 | + | x | ) | + | 46 | ÷ | ( | 1 | + | x | ) | ) | = | 0 |
| 100 | − | 46 | ÷ | ( | x | + | 5 4 | ) | − | 46 | ÷ | ( | 1 | + | x | ) | − | 46 | ÷ | ( | 1 | + | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | x | + | 5 4 | ) |
| 100 | ( | x | + | 5 4 | ) | − | 46 | − | 46 | ÷ | ( | 1 | + | x | ) | × | ( | x | + | 5 4 | ) | − | 46 | ÷ | ( | 1 | + | x | ) | × | ( | x | + | 5 4 | ) | = | 0 |
| 100 | x | + | 100 | × | 5 4 | − | 46 | − | 46 | ÷ | ( | 1 | + | x | ) | × | ( | x | + | 5 4 | ) | − | 46 | ÷ | ( | 1 | + | x | ) | × | ( | x | + | 5 4 | ) | = | 0 |
| 100 | x | + | 125 | − | 46 | − | 46 | ÷ | ( | 1 | + | x | ) | × | ( | x | + | 5 4 | ) | − | 46 | ÷ | ( | 1 | + | x | ) | × | ( | x | + | 5 4 | ) | = | 0 |
| 100 | x | + | 79 | − | 46 | ÷ | ( | 1 | + | x | ) | × | ( | x | + | 5 4 | ) | − | 46 | ÷ | ( | 1 | + | x | ) | × | ( | x | + | 5 4 | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | + | x | ) |
| 100 | x | ( | 1 | + | x | ) | + | 79 | ( | 1 | + | x | ) | − | 46 | ( | x | + | 5 4 | ) | − | 46 | ( | x | + | 5 4 | ) | = | 0 |
| 100 | x | × | 1 | + | 100 | x | x | + | 79 | ( | 1 | + | x | ) | − | 46 | ( | x | + | 5 4 | ) | − | 46 | ( | x | + | 5 4 | ) | = | 0 |
| 100 | x | + | 100 | x | x | + | 79 | ( | 1 | + | x | ) | − | 46 | ( | x | + | 5 4 | ) | − | 46 | ( | x | + | 5 4 | ) | = | 0 |
| 100 | x | + | 100 | x | x | + | 79 | × | 1 | + | 79 | x | − | 46 | ( | x | + | 5 4 | ) | − | 46 | = | 0 |
| 100 | x | + | 100 | x | x | + | 79 | + | 79 | x | − | 46 | ( | x | + | 5 4 | ) | − | 46 | ( | x | + | 5 4 | ) | = | 0 |
| 179 | x | + | 100 | x | x | + | 79 | − | 46 | ( | x | + | 5 4 | ) | − | 46 | ( | x | + | 5 4 | ) | = | 0 |
| 179 | x | + | 100 | x | x | + | 79 | − | 46 | x | − | 46 | × | 5 4 | − | 46 | ( | x | + | 5 4 | ) | = | 0 |
| 179 | x | + | 100 | x | x | + | 79 | − | 46 | x | − | 115 2 | − | 46 | ( | x | + | 5 4 | ) | = | 0 |
| 133 | x | + | 100 | x | x | + | 43 2 | − | 46 | ( | x | + | 5 4 | ) | = | 0 |
| 133 | x | + | 100 | x | x | + | 43 2 | − | 46 | x | − | 46 | × | 5 4 | = | 0 |
| 133 | x | + | 100 | x | x | + | 43 2 | − | 46 | x | − | 115 2 | = | 0 |
| 87 | x | + | 100 | x | x | − | 36 | = | 0 |