| 10 | ( | 1 | + | 7 100 | ) | ( | 1 | + | 8 100 | ) | = | 10 | ( | 1 | + | x | ) | ( | 1 | + | x | ) |
| Left side of the equation = | 10 | × | 1 | ( | 1 | + | 8 100 | ) | + | 10 | × | 7 100 | ( | 1 | + | 8 100 | ) |
| = | 10 | ( | 1 | + | 8 100 | ) | + | 7 10 | ( | 1 | + | 8 100 | ) |
| = | 10 | × | 1 | + | 10 | × | 8 100 | + | 7 10 | ( | 1 | + | 8 100 | ) |
| = | 10 | + | 4 5 | + | 7 10 | ( | 1 | + | 8 100 | ) |
| = | 54 5 | + | 7 10 | ( | 1 | + | 8 100 | ) |
| = | 54 5 | + | 7 10 | × | 1 | + | 7 10 | × | 8 100 |
| = | 54 5 | + | 7 10 | + | 7 125 |
| = | 2889 250 |
2889 250 | = | 10 | ( | 1 | + | x | ) | ( | 1 | + | x | ) |
| Right side of the equation = | 10 | × | 1 | ( | 1 | + | x | ) | + | 10 | x | ( | 1 | + | x | ) |
| = | 10 | ( | 1 | + | x | ) | + | 10 | x | ( | 1 | + | x | ) |
| = | 10 | × | 1 | + | 10 | x | + | 10 | x | ( | 1 | + | x | ) |
| = | 10 | + | 10 | x | + | 10 | x | ( | 1 | + | x | ) |
| = | 10 | + | 10 | x | + | 10 | x | × | 1 | + | 10 | x | x |
| = | 10 | + | 10 | x | + | 10 | x | + | 10 | x | x |
| = | 10 | + | 20 | x | + | 10 | x | x |
2889 250 | = | 10 | + | 20 | x | + | 10 | x | x |