9 | x | + | 4 | ( | 100 | − | x | ) | = | ( | 10 | x | + | 6 | x | ( | 100 | − | x | ) | ) | ( | 1 | − | 25 100 | ) |
Left side of the equation = | 9 | x | + | 4 | × | 100 | − | 4 | x |
= | 9 | x | + | 400 | − | 4 | x |
= | 5 | x | + | 400 |
5 | x | + | 400 | = | ( | 10 | x | + | 6 | x | ( | 100 | − | x | ) | ) | ( | 1 | − | 25 100 | ) |
Right side of the equation = | 10 | x | ( | 1 | − | 25 100 | ) | + | 6 | x | ( | 100 | − | x | ) | ( | 1 | − | 25 100 | ) |
= | 10 | x | × | 1 | − | 10 | x | × | 25 100 | + | 6 | x | ( | 100 | − | x | ) | ( | 1 | − | 25 100 | ) |
= | 10 | x | − | 5 2 | x | + | 6 | x | ( | 100 | − | x | ) | ( | 1 | − | 25 100 | ) |
= | 15 2 | x | + | 6 | x | ( | 100 | − | x | ) | ( | 1 | − | 25 100 | ) |
= | 15 2 | x | + | 6 | x | × | 100 | ( | 1 | − | 25 100 | ) | − | 6 | x | x | ( | 1 | − | 25 100 | ) |
= | 15 2 | x | + | 600 | x | ( | 1 | − | 25 100 | ) | − | 6 | x | x | ( | 1 | − | 25 100 | ) |
= | 15 2 | x | + | 600 | x | × | 1 | − | 600 | x | × | 25 100 | − | 6 | x | x | ( | 1 | − | 25 100 | ) |
= | 15 2 | x | + | 600 | x | − | 150 | x | − | 6 | x | x | ( | 1 | − | 25 100 | ) |
= | 915 2 | x | − | 6 | x | x | ( | 1 | − | 25 100 | ) |
= | 915 2 | x | − | 6 | x | x | × | 1 | + | 6 | x | x | × | 25 100 |
= | 915 2 | x | − | 6 | x | x | + | 3 2 | x | x |
5 | x | + | 400 | = | 915 2 | x | − | 6 | x | x | + | 3 2 | x | x |