( | 2 | ÷ | 3 | − | x | ) | ÷ | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) | = | ( | 3 | ÷ | 2 | − | 2 | ÷ | 3 | ) | ÷ | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) |
方程两边同时乘以: | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) | , | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) |
( | 2 | ÷ | 3 | − | x | ) | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | = | ( | 3 | ÷ | 2 | − | 2 | ÷ | 3 | ) | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) |
2 | ÷ | 3 | × | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | − | x | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | = | ( | 3 | ÷ | 2 | − | 2 | ÷ | 3 | ) | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) |
2 | ÷ | 3 | × | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | − | x | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | = | 3 | ÷ | 2 | × | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) | − | 2 | ÷ | 3 | × | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) |
2 3 | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | − | x | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | = | 3 2 | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) | − | 2 3 | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) |
2 3 | × | 1 | + | 2 3 | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | − | x | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | = | 3 2 | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) | − | 2 3 | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) |
2 3 | × | 1 | + | 2 3 | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | − | x | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | = | 3 2 | × | 1 | + | 3 2 | ( | 2 | ÷ | 3 | ) | x | − | 2 3 | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) |
2 3 | + | 2 3 | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | − | x | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | = | 3 2 | + | 3 2 | ( | 2 | ÷ | 3 | ) | x | − | 2 3 | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) |
2 3 | + | 2 3 | × | 3 | ÷ | 2 | × | ( | 2 | ÷ | 3 | ) | − | x | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | = | 3 2 | + | 3 2 | ( | 2 | ÷ | 3 | ) | x | − | 2 3 | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) |
2 3 | + | 2 3 | × | 3 | ÷ | 2 | × | ( | 2 | ÷ | 3 | ) | − | x | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | = | 3 2 | + | 3 2 | × | 2 | ÷ | 3 | × | x | − | 2 3 | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) |
2 3 | + | 1 | ( | 2 | ÷ | 3 | ) | − | x | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | = | 3 2 | + | 1 | x | − | 2 3 | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) |
2 3 | + | 1 | × | 2 | ÷ | 3 | − | x | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | = | 3 2 | + | 1 | x | − | 2 3 | ( | 1 | + | ( | 2 | ÷ | 3 | ) | x | ) |
2 3 | + | 1 | × | 2 | ÷ | 3 | − | x | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | = | 3 2 | + | 1 | x | − | 2 3 | × | 1 | − | 2 3 | ( | 2 | ÷ | 3 | ) | x |
2 3 | + | 2 3 | − | x | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | = | 3 2 | + | 1 | x | − | 2 3 | − | 2 3 | ( | 2 | ÷ | 3 | ) | x |
4 3 | − | x | ( | 1 | + | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | ) | = | 5 6 | + | 1 | x | − | 2 3 | ( | 2 | ÷ | 3 | ) | x |
4 3 | − | x | × | 1 | − | x | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | = | 5 6 | + | 1 | x | − | 2 3 | ( | 2 | ÷ | 3 | ) | x |
4 3 | − | x | × | 1 | − | x | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | = | 5 6 | + | 1 | x | − | 2 3 | × | 2 | ÷ | 3 | × | x |
4 3 | − | x | × | 1 | − | x | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | = | 5 6 | + | 1 | x | − | 4 9 | x |
4 3 | − | 1 | x | − | x | ( | 3 | ÷ | 2 | ) | ( | 2 | ÷ | 3 | ) | = | 5 6 | + | 5 9 | x |
4 3 | − | 1 | x | − | x | × | 3 | ÷ | 2 | × | ( | 2 | ÷ | 3 | ) | = | 5 6 | + | 5 9 | x |
4 3 | − | 1 | x | − | x | × | 3 2 | ( | 2 | ÷ | 3 | ) | = | 5 6 | + | 5 9 | x |
4 3 | − | 1 | x | − | x | × | 3 2 | × | 2 | ÷ | 3 | = | 5 6 | + | 5 9 | x |
4 3 | − | 1 | x | − | x | × | 1 | = | 5 6 | + | 5 9 | x |
4 3 | − | 2 | x | = | 5 6 | + | 5 9 | x |
- | 2 | x | − | 5 9 | x | = | 5 6 | − | 4 3 |
- | 23 9 | x | = | 5 6 | − | 4 3 |
- | 23 9 | x | = | - | 1 2 |
1 2 | = | 23 9 | x |
23 9 | x | = | 1 2 |
x | = | 1 2 | ÷ | 23 9 |
= | 1 2 | × | 9 23 |
x | = | 9 46 |
x | = | 0.195652 |