( | x | + | 1 | ) | ( | x | + | 2 | ) | − | ( | x | − | 3 | ) | ( | x | + | 6 | ) | = | 0 |
Left side of the equation = | x | ( | x | + | 2 | ) | + | 1 | ( | x | + | 2 | ) | − | ( | x | − | 3 | ) | ( | x | + | 6 | ) |
= | x | x | + | x | × | 2 | + | 1 | ( | x | + | 2 | ) | − | ( | x | − | 3 | ) | ( | x | + | 6 | ) |
= | x | x | + | 2 | x | + | 1 | x | + | 1 | × | 2 | − | ( | x | − | 3 | ) | ( | x | + | 6 | ) |
= | x | x | + | 2 | x | + | 1 | x | + | 2 | − | ( | x | − | 3 | ) | ( | x | + | 6 | ) |
= | x | x | + | 3 | x | + | 2 | − | ( | x | − | 3 | ) | ( | x | + | 6 | ) |
= | x | x | + | 3 | x | + | 2 | − | x | ( | x | + | 6 | ) | + | 3 | ( | x | + | 6 | ) |
= | x | x | + | 3 | x | + | 2 | − | x | x | − | x | × | 6 | + | 3 | ( | x | + | 6 | ) |
= | x | x | − | 3 | x | + | 2 | − | x | x | + | 3 | ( | x | + | 6 | ) |
= | x | x | − | 3 | x | + | 2 | − | x | x | + | 3 | x | + | 3 | × | 6 |
= | x | x | − | 3 | x | + | 2 | − | x | x | + | 3 | x | + | 18 |
= | x | x | − | 0 | x | + | 20 | − | x | x |
x | x | − | 0 | x | + | 20 | − | x | x | = | 0 |