| 100 | + | ( | x | − | 100 | ) | × | 90 100 | = | 0 |
| Left side of the equation = | 100 | + | x | × | 90 100 | − | 100 | × | 90 100 |
| = | 100 | + | x | × | 90 100 | − | 90 |
| = | 10 | + | 90 100 | x |
| 10 | + | 90 100 | x | = | 0 |
90 100 | x | = | 0 | − | 10 |
90 100 | x | = | - | 10 |
| x | = | - | 10 | ÷ | 90 100 |
| = | - | 10 | × | 100 90 |
| = | - | 1 | × | 100 9 |
| x | = | - | 100 9 |
| x | = | - 11.111111 |