( | x | − | 8 | ) | ( | 100 | − | 10 | ( | x | − | 10 | ) | ) | = | 0 |
Left side of the equation = | x | ( | 100 | − | 10 | ( | x | − | 10 | ) | ) | − | 8 | ( | 100 | − | 10 | ( | x | − | 10 | ) | ) |
= | x | × | 100 | − | x | × | 10 | ( | x | − | 10 | ) | − | 8 | ( | 100 | − | 10 | ( | x | − | 10 | ) | ) |
= | 100 | x | − | x | × | 10 | x | + | x | × | 10 | × | 10 | − | 8 | ( | 100 | − | 10 | ( | x | − | 10 | ) | ) |
= | 100 | x | − | x | × | 10 | x | + | x | × | 100 | − | 8 | ( | 100 | − | 10 | ( | x | − | 10 | ) | ) |
= | 200 | x | − | x | × | 10 | x | − | 8 | ( | 100 | − | 10 | ( | x | − | 10 | ) | ) |
= | 200 | x | − | x | × | 10 | x | − | 8 | × | 100 | + | 8 | × | 10 | ( | x | − | 10 | ) |
= | 200 | x | − | x | × | 10 | x | − | 800 | + | 80 | ( | x | − | 10 | ) |
= | 200 | x | − | x | × | 10 | x | − | 800 | + | 80 | x | − | 80 | × | 10 |
= | 200 | x | − | x | × | 10 | x | − | 800 | + | 80 | x | − | 800 |
= | 280 | x | − | x | × | 10 | x | − | 1600 |
280 | x | − | x | × | 10 | x | − | 1600 | = | 0 |