( | 1000 | + | 112 | x | ) | ÷ | 28 5 | + | 150 | ÷ | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | = | 6 5 | ( | 150 | + | 111 2 | ( | x | − | 1 2 | ) | ) |
方程两边同时乘以: | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) |
( | 1000 | + | 112 | x | ) | ÷ | 28 5 | × | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | + | 150 | = | 6 5 | ( | 150 | + | 111 2 | ( | x | − | 1 2 | ) | ) | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) |
1000 | ÷ | 28 5 | × | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | + | 112 | x | ÷ | 28 5 | × | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | + | 150 | = | 6 5 | ( | 150 | + | 111 2 | ( | x | − | 1 2 | ) | ) | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) |
1000 | ÷ | 28 5 | × | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | + | 112 | x | ÷ | 28 5 | × | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | + | 150 | = | 6 5 | × | 150 | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | + | 6 5 | × | 111 2 | ( | x | − | 1 2 | ) | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) |
1250 7 | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | + | 20 | x | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | + | 150 | = | 180 | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | + | 333 5 | ( | x | − | 1 2 | ) | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) |
1250 7 | × | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | + | 20 | x | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | + | 150 | = | 180 | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | + | 333 5 | ( | x | − | 1 2 | ) | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) |
1250 7 | × | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | + | 20 | x | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | + | 150 | = | 180 | × | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | + | 333 5 | ( | x | − | 1 2 | ) | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) |
1400 3 | + | 20 | x | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | + | 150 | = | 2352 5 | + | 333 5 | ( | x | − | 1 2 | ) | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) |
1850 3 | + | 20 | x | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | = | 2352 5 | + | 333 5 | ( | x | − | 1 2 | ) | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) |
1850 3 | + | 20 | x | × | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | = | 2352 5 | + | 333 5 | ( | x | − | 1 2 | ) | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) |
1850 3 | + | 20 | x | × | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | = | 2352 5 | + | 333 5 | x | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | − | 333 5 | × | 1 2 | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) |
1850 3 | + | 784 15 | x | = | 2352 5 | + | 333 5 | x | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) | − | 333 10 | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) |
1850 3 | + | 784 15 | x | = | 2352 5 | + | 333 5 | x | × | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | − | 333 10 | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) |
1850 3 | + | 784 15 | x | = | 2352 5 | + | 21756 125 | x | − | 333 10 | ( | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 | ) |
1850 3 | + | 784 15 | x | = | 2352 5 | + | 21756 125 | x | − | 333 10 | × | 1 | ÷ | 6 | × | 2 | × | 14 5 | × | 14 5 |
1850 3 | + | 784 15 | x | = | 2352 5 | + | 21756 125 | x | − | 10878 125 |
1850 3 | + | 784 15 | x | = | 47922 125 | + | 21756 125 | x |
784 15 | x | − | 21756 125 | x | = | 47922 125 | − | 1850 3 |
- | 45668 375 | x | = | 47922 125 | − | 1850 3 |
- | 45668 375 | x | = | - | 87484 375 |
87484 375 | = | 45668 375 | x |
45668 375 | x | = | 87484 375 |
x | = | 87484 375 | ÷ | 45668 375 |
= | 87484 375 | × | 375 45668 |
= | 21871 | × | 1 11417 |
x | = | 21871 11417 |
x | = | 1.915652 |