| 10000 | × | 1 20 | = | x | − | 11300 | − | ( | x | ÷ | 113 100 | × | 13 100 | − | 1300 | ) | − | ( | x | ÷ | 113 100 | × | 13 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| Left side of the equation = | 500 |
| 500 | = | x | − | 11300 | − | ( | x | ÷ | 113 100 | × | 13 100 | − | 1300 | ) | − | ( | x | ÷ | 113 100 | × | 13 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| Right side of the equation = | x | − | 11300 | − | x | ÷ | 113 100 | × | 13 100 | + | 1300 | − | ( | x | ÷ | 113 100 | × | 13 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | x | − | 11300 | − | x | × | 13 113 | + | 1300 | − | ( | x | ÷ | 113 100 | × | 13 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 100 113 | x | − | 10000 | − | ( | x | ÷ | 113 100 | × | 13 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 100 113 | x | − | 10000 | − | x | ÷ | 113 100 | × | 13 100 | × | 3 25 | + | 1300 | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 100 113 | x | − | 10000 | − | x | × | 39 2825 | + | 156 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 2461 2825 | x | − | 9844 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 2461 2825 | x | − | 9844 | − | x | ÷ | 113 100 | × | 3 10000 | − | 10000 | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 2461 2825 | x | − | 9844 | − | x | × | 3 11300 | − | 3 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 9841 11300 | x | − | 9847 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 9841 11300 | x | − | 9847 | − | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 |
| = | 9841 11300 | x | − | 9847 | − | x | ÷ | 113 100 | × | 1 4 | + | 10000 | × | 1 4 | + | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | × | 1 4 | + | ( | x | ÷ | 113 100 | + | 10000 | ) |
| = | 9841 11300 | x | − | 9847 | − | x | × | 25 113 | + | 2500 | + | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 100 | + | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 40000 |
| = | 7341 11300 | x | − | 7347 | + | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 100 | + | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 40000 |
| = | 7341 11300 | x | − | 7347 | + | x | ÷ | 113 100 | × | 3 100 | − | 1300 | × | 3 100 | + | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 40000 |
| = | 7341 11300 | x | − | 7347 | + | x | × | 3 113 | − | 39 | + | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 40000 |
| = | 7641 11300 | x | − | 7386 | + | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 40000 |
| = | 7641 11300 | x | − | 7386 | + | x | ÷ | 113 100 | × | 3 40000 | + | 10000 | × | 3 40000 |
| = | 7641 11300 | x | − | 7386 | + | x | × | 3 45200 | + | 3 4 |
| = | 30567 45200 | x | − | 29541 4 |
| 500 | = | 30567 45200 | x | − | 29541 4 |
| - | 30567 45200 | x | = | - | 29541 4 | − | 500 |
| - | 30567 45200 | x | = | - | 31541 4 |
31541 4 | = | 30567 45200 | x |
30567 45200 | x | = | 31541 4 |
| x | = | 31541 4 | ÷ | 30567 45200 |
| = | 31541 4 | × | 45200 30567 |
| = | 31541 | × | 11300 30567 |
| x | = | 356413300 30567 |
| x | = | 11660.068047 |