| 5000 | a | × | 59 500 | = | ( | 1000 | − | 2500 | × | 3 100 | ) | ( | 1 | − | 25 100 | ) |
| Left side of the equation = | 590 | a |
| 590 | a | = | ( | 1000 | − | 2500 | × | 3 100 | ) | ( | 1 | − | 25 100 | ) |
| Right side of the equation = | 1000 | ( | 1 | − | 25 100 | ) | − | 2500 | × | 3 100 | ( | 1 | − | 25 100 | ) |
| = | 1000 | ( | 1 | − | 25 100 | ) | − | 75 | ( | 1 | − | 25 100 | ) |
| = | 1000 | × | 1 | − | 1000 | × | 25 100 | − | 75 | ( | 1 | − | 25 100 | ) |
| = | 1000 | − | 250 | − | 75 | ( | 1 | − | 25 100 | ) |
| = | 750 | − | 75 | ( | 1 | − | 25 100 | ) |
| = | 750 | − | 75 | × | 1 | + | 75 | × | 25 100 |
| = | 750 | − | 75 | + | 75 4 |
| = | 2775 4 |
| 590 | a | = | 2775 4 |
| a | = | 2775 4 | ÷ | 590 |
| = | 2775 4 | × | 1 590 |
| = | 555 4 | × | 1 118 |
| a | = | 555 472 |
| a | = | 1.175847 |