| 25950 | ( | 1 | + | x | ÷ | 12 | × | 8 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 9 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 10 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 11 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 12 | ) | = | 50000 |
| Left side of the equation = | 25950 | × | 1 | + | 25950 | x | ÷ | 12 | × | 8 | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 9 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 10 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 11 | ) |
| = | 25950 | + | 17300 | x | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 9 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 10 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 11 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 12 | ) |
| = | 25950 | + | 17300 | x | + | 25950 | × | 1 | + | 25950 | x | ÷ | 12 | × | 9 | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 10 | ) | + | 25950 |
| = | 25950 | + | 17300 | x | + | 25950 | + | 38925 2 | x | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 10 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 11 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 12 | ) |
| = | 51900 | + | 73525 2 | x | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 10 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 11 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 12 | ) |
| = | 51900 | + | 73525 2 | x | + | 25950 | × | 1 | + | 25950 | x | ÷ | 12 | × | 10 | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 11 | ) | + | 25950 |
| = | 51900 | + | 73525 2 | x | + | 25950 | + | 21625 | x | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 11 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 12 | ) |
| = | 77850 | + | 116775 2 | x | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 11 | ) | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 12 | ) |
| = | 77850 | + | 116775 2 | x | + | 25950 | × | 1 | + | 25950 | x | ÷ | 12 | × | 11 | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 12 | ) |
| = | 77850 | + | 116775 2 | x | + | 25950 | + | 47575 2 | x | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 12 | ) |
| = | 103800 | + | 82175 | x | + | 25950 | ( | 1 | + | x | ÷ | 12 | × | 12 | ) |
| = | 103800 | + | 82175 | x | + | 25950 | × | 1 | + | 25950 | x | ÷ | 12 | × | 12 |
| = | 103800 | + | 82175 | x | + | 25950 | + | 25950 | x |
| = | 129750 | + | 108125 | x |
| 129750 | + | 108125 | x | = | 50000 |
| 108125 | x | = | 50000 | − | 129750 |
| 108125 | x | = | - | 79750 |
| x | = | - | 79750 | ÷ | 108125 |
| = | - | 79750 | × | 1 108125 |
| = | - | 638 | × | 1 865 |
| x | = | - | 638 865 |
| x | = | - 0.737572 |