| x | + | 2304 25 | ( | 25 2 | − | x | ) | ÷ | 9009 50 | + | 4401 50 | ( | 25 2 | − | x | ) | ÷ | 9009 50 | = | 25 2 |
| Left side of the equation = | x | + | 512 1001 | ( | 25 2 | − | x | ) | + | 489 1001 | ( | 25 2 | − | x | ) |
| x | + | 512 1001 | ( | 25 2 | − | x | ) | + | 489 1001 | ( | 25 2 | − | x | ) | = | 25 2 |
| Left side of the equation = | x | + | 512 1001 | × | 25 2 | − | 512 1001 | x | + | 489 1001 | ( | 25 2 | − | x | ) |
| = | x | + | 6400 1001 | − | 512 1001 | x | + | 489 1001 | ( | 25 2 | − | x | ) |
| = | 489 1001 | x | + | 6400 1001 | + | 489 1001 | ( | 25 2 | − | x | ) |
| = | 489 1001 | x | + | 6400 1001 | + | 489 1001 | × | 25 2 | − | 489 1001 | x |
| = | 489 1001 | x | + | 6400 1001 | + | 12225 2002 | − | 489 1001 | x |
| = | 0 | x | + | 25 2 |
| 0 | x | + | 25 2 | = | 25 2 |
| = | 25 2 | − | 25 2 |