在线解一元方程：
直接输入任意的一元方程，然后点击“下一步”按钮，即可获得方程的解。
它支持包含数学函数的方程。
直接输入任意的一元方程，然后点击“下一步”按钮，即可获得方程的解。
它支持包含数学函数的方程。
总述：本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业：求方程 （（20+x）/18）/(（20+x）+（1.68/342）) = （（20-x）/18）/(（20-x）+（2.45/690）) 的解.
题型：方程
解:原方程：
| ( | ( | 20 | + | x | ) | ÷ | 18 | ) | ÷ | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) | = | ( | ( | 20 | − | x | ) | ÷ | 18 | ) | ÷ | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) |
| 方程两边同时乘以： | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) | , | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) |
| ( | ( | 20 | + | x | ) | ÷ | 18 | ) | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | ( | ( | 20 | − | x | ) | ÷ | 18 | ) | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
| ( | 20 | + | x | ) | ÷ | 18 | × | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | ( | ( | 20 | − | x | ) | ÷ | 18 | ) | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
| ( | 20 | + | x | ) | ÷ | 18 | × | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | ( | 20 | − | x | ) | ÷ | 18 | × | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
| 20 | × | 1 18 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | + | x | × | 1 18 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | ( | 20 | − | x | ) | × | 1 18 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
| 20 | × | 1 18 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | + | x | × | 1 18 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 20 | × | 1 18 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) | − | x | × | 1 18 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
10 9 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | + | x | × | 1 18 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 10 9 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) | − | x | × | 1 18 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
10 9 | ( | 20 | − | x | ) | + | 10 9 | ( | 49 20 | ÷ | 690 | ) | + | x | × | 1 18 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 10 9 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) | − | x | × | 1 18 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
10 9 | ( | 20 | − | x | ) | + | 10 9 | ( | 49 20 | ÷ | 690 | ) | + | x | × | 1 18 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 10 9 | ( | 20 | + | x | ) | + | 10 9 | ( | 42 25 | ÷ | 342 | ) | − | x | × | 1 18 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
10 9 | × | 20 | − | 10 9 | x | + | 10 9 | ( | 49 20 | ÷ | 690 | ) | + | x | × | 1 18 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 10 9 | ( | 20 | + | x | ) | + | 10 9 | ( | 42 25 | ÷ | 342 | ) | − | x | × | 1 18 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
10 9 | × | 20 | − | 10 9 | x | + | 10 9 | ( | 49 20 | ÷ | 690 | ) | + | x | × | 1 18 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 10 9 | × | 20 | + | 10 9 | x | + | 10 9 | ( | 42 25 | ÷ | 342 | ) | − | x | × | 1 18 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
200 9 | − | 10 9 | x | + | 10 9 | ( | 49 20 | ÷ | 690 | ) | + | x | × | 1 18 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 200 9 | + | 10 9 | x | + | 10 9 | ( | 42 25 | ÷ | 342 | ) | − | x | × | 1 18 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
200 9 | − | 10 9 | x | + | 10 9 | × | 49 20 | ÷ | 690 | + | x | × | 1 18 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 200 9 | + | 10 9 | x | + | 10 9 | ( | 42 25 | ÷ | 342 | ) | − | x | × | 1 18 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
200 9 | − | 10 9 | x | + | 10 9 | × | 49 20 | ÷ | 690 | + | x | × | 1 18 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 200 9 | + | 10 9 | x | + | 10 9 | × | 42 25 | ÷ | 342 | − | x | × | 1 18 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
200 9 | − | 10 9 | x | + | 49 12420 | + | x | × | 1 18 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 200 9 | + | 10 9 | x | + | 14 2565 | − | x | × | 1 18 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
276049 12420 | − | 10 9 | x | + | x | × | 1 18 | ( | ( | 20 | − | x | ) | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 57014 2565 | + | 10 9 | x | − | x | × | 1 18 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
276049 12420 | − | 10 9 | x | + | x | × | 1 18 | ( | 20 | − | x | ) | + | x | × | 1 18 | ( | 49 20 | ÷ | 690 | ) | = | 57014 2565 | + | 10 9 | x | − | x | × | 1 18 | ( | ( | 20 | + | x | ) | + | ( | 42 25 | ÷ | 342 | ) | ) |
276049 12420 | − | 10 9 | x | + | x | × | 1 18 | ( | 20 | − | x | ) | + | x | × | 1 18 | ( | 49 20 | ÷ | 690 | ) | = | 57014 2565 | + | 10 9 | x | − | x | × | 1 18 | ( | 20 | + | x | ) | − | x | × | 1 18 | ( | 42 25 | ÷ | 342 | ) |
276049 12420 | − | 10 9 | x | + | x | × | 1 18 | × | 20 | − | x | × | 1 18 | x | + | x | × | 1 18 | ( | 49 20 | ÷ | 690 | ) | = | 57014 2565 | + | 10 9 | x | − | x | × | 1 18 | ( | 20 | + | x | ) | − | x | × | 1 18 | ( | 42 25 | ÷ | 342 | ) |
276049 12420 | − | 10 9 | x | + | x | × | 1 18 | × | 20 | − | x | × | 1 18 | x | + | x | × | 1 18 | ( | 49 20 | ÷ | 690 | ) | = | 57014 2565 | + | 10 9 | x | − | x | × | 1 18 | × | 20 | − | x | × | 1 18 | x | − | x | × | 1 18 | ( | 42 25 | ÷ | 342 | ) |
276049 12420 | − | 10 9 | x | + | x | × | 10 9 | − | x | × | 1 18 | x | + | x | × | 1 18 | ( | 49 20 | ÷ | 690 | ) | = | 57014 2565 | + | 10 9 | x | − | x | × | 10 9 | − | x | × | 1 18 | x | − | x | × | 1 18 | ( | 42 25 | ÷ | 342 | ) |
276049 12420 | − | 0 | x | − | x | × | 1 18 | x | + | x | × | 1 18 | ( | 49 20 | ÷ | 690 | ) | = | 57014 2565 | + | 0 | x | − | x | × | 1 18 | x | − | x | × | 1 18 | ( | 42 25 | ÷ | 342 | ) |
276049 12420 | − | x | × | 1 18 | x | + | x | × | 1 18 | × | 49 20 | ÷ | 690 | = | 57014 2565 | − | x | × | 1 18 | x | − | x | × | 1 18 | ( | 42 25 | ÷ | 342 | ) |
276049 12420 | − | x | × | 1 18 | x | + | x | × | 1 18 | × | 49 20 | ÷ | 690 | = | 57014 2565 | − | x | × | 1 18 | x | − | x | × | 1 18 | × | 42 25 | ÷ | 342 |
276049 12420 | − | x | × | 1 18 | x | + | x | × | 49 248400 | = | 57014 2565 | − | x | × | 1 18 | x | − | x | × | 7 25650 |
276049 12420 | − | x | × | 1 18 | x | + | 49 248400 | x | = | 57014 2565 | − | x | × | 1 18 | x | − | 7 25650 | x |
x=0
有 1个解。
解一元一次方程的详细方法请参阅：《一元一次方程的解法》
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