| ( | 100 | q | − | ( | 280 | + | 353571 1000 | + | 50 | ) | − | ( | 100 | q | × | 13 100 | − | 20 | ) | × | 1 10 | ) | × | 3 4 | ÷ | ( | 2100 | + | 250 | ) | = | 8 100 |
| Multiply both sides of the equation by: | ( | 2100 | + | 250 | ) |
| ( | 100 | q | − | ( | 280 | + | 353571 1000 | + | 50 | ) | − | ( | 100 | q | × | 13 100 | − | 20 | ) | × | 1 10 | ) | × | 3 4 | = | 8 100 | ( | 2100 | + | 250 | ) |
| 100 | q | × | 3 4 | − | ( | 280 | + | 353571 1000 | + | 50 | ) | × | 3 4 | − | ( | 100 | q | × | 13 100 | − | 20 | ) | × | 1 10 | × | 3 4 | = | 8 100 | ( | 2100 | + | 250 | ) |
| 100 | q | × | 3 4 | − | ( | 280 | + | 353571 1000 | + | 50 | ) | × | 3 4 | − | ( | 100 | q | × | 13 100 | − | 20 | ) | × | 1 10 | × | 3 4 | = | 8 100 | × | 2100 | + | 8 100 | × | 250 |
| 75 | q | − | ( | 280 | + | 353571 1000 | + | 50 | ) | × | 3 4 | − | ( | 100 | q | × | 13 100 | − | 20 | ) | × | 3 40 | = | 168 | + | 20 |
| 75 | q | − | ( | 280 | + | 353571 1000 | + | 50 | ) | × | 3 4 | − | ( | 100 | q | × | 13 100 | − | 20 | ) | × | 3 40 | = | 188 |
| 75 | q | − | 280 | × | 3 4 | − | 353571 1000 | × | 3 4 | − | 50 | × | 3 4 | − | ( | 100 | q | × | 13 100 | − | 20 | ) | × | 3 40 | = | 188 |
| 75 | q | − | 210 | − | 1060713 4000 | − | 75 2 | − | ( | 100 | q | × | 13 100 | − | 20 | ) | × | 3 40 | = | 188 |
| 75 | q | − | 2050713 4000 | − | ( | 100 | q | × | 13 100 | − | 20 | ) | × | 3 40 | = | 188 |
| 75 | q | − | 2050713 4000 | − | 100 | q | × | 13 100 | × | 3 40 | + | 20 | × | 3 40 | = | 188 |
| 75 | q | − | 2050713 4000 | − | 39 40 | q | + | 3 2 | = | 188 |
2961 40 | q | − | 2044713 4000 | = | 188 |
2961 40 | q | = | 188 | + | 2044713 4000 |
2961 40 | q | = | 2796713 4000 |
| q | = | 2796713 4000 | ÷ | 2961 40 |
| = | 2796713 4000 | × | 40 2961 |
| = | 2796713 100 | × | 1 2961 |
| q | = | 2796713 296100 |
| q | = | 9.445164 |