| x | + | x | ( | 3 | + | 2 | + | 3 2 | + | 12 | + | 3 2 | ) | × | 1 100 | + | ( | x | + | x | ( | 3 | + | 2 | + | 3 2 | + | 12 | + | 3 2 | ) | × | 1 100 | ) | × | 3 100 | = | 420000 |
| Left side of the equation = | x | + | x | × | 3 | × | 1 100 | + | x | × | 2 | × | 1 100 | + | x | × | 3 2 | × | 1 100 | + | x | × | 12 |
| = | x | + | x | × | 3 100 | + | x | × | 1 50 | + | x | × | 3 200 | + | x | × | 3 25 | + | x | × | 3 200 | + | ( | x | + | x | ( | 3 | + | 2 | + | 3 2 | + | 12 | + | 3 2 | ) | × | 1 100 | ) |
| = | 6 5 | x | + | ( | x | + | x | ( | 3 | + | 2 | + | 3 2 | + | 12 | + | 3 2 | ) | × | 1 100 | ) | × | 3 100 |
| = | 6 5 | x | + | x | × | 3 100 | + | x | ( | 3 | + | 2 | + | 3 2 | + | 12 | + | 3 2 | ) | × | 1 100 | × | 3 100 |
| = | 6 5 | x | + | x | × | 3 100 | + | x | ( | 3 | + | 2 | + | 3 2 | + | 12 | + | 3 2 | ) | × | 3 10000 |
| = | 123 100 | x | + | x | ( | 3 | + | 2 | + | 3 2 | + | 12 | + | 3 2 | ) | × | 3 10000 |
| = | 123 100 | x | + | x | × | 3 | × | 3 10000 | + | x | × | 2 | × | 3 10000 | + | x | × | 3 2 | × | 3 10000 | + | x |
| = | 123 100 | x | + | x | × | 9 10000 | + | x | × | 3 5000 | + | x | × | 9 20000 | + | x | × | 9 2500 | + | x | × | 9 20000 |
| = | 309 250 | x |
309 250 | x | = | 420000 |
| x | = | 420000 | ÷ | 309 250 |
| = | 420000 | × | 250 309 |
| = | 140000 | × | 250 103 |
| x | = | 35000000 103 |
| x | = | 339805.825243 |