| q | ( | 50 | − | 50 | × | 55 100 | − | 50 | × | 5 100 | ) | − | 10 | = | 0 |
| Left side of the equation = | q | × | 50 | − | q | × | 50 | × | 55 100 | − | q | × | 50 | × | 5 100 | − | 10 |
| = | q | × | 50 | − | q | × | 55 2 | − | q | × | 5 2 | − | 10 |
| = | 20 | q | − | 10 |
| 20 | q | − | 10 | = | 0 |
| 20 | q | = | 0 | + | 10 |
| 20 | q | = | 10 |
| q | = | 10 | ÷ | 20 |
| = | 10 | × | 1 20 |
| = | 1 | × | 1 2 |
| q | = | 1 2 |
| q | = | 0.5 |