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 0.507*（（90/x）+15）/（40/x）+8.5 = 0.493*（（90/x）+15）/（50/x）+6.5 的解.
题型：方程
解:原方程：
507 1000 | ( | ( | 90 | ÷ | x | ) | + | 15 | ) | ÷ | ( | 40 | ÷ | x | ) | + | 17 2 | = | 493 1000 | ( | ( | 90 | ÷ | x | ) | + | 15 | ) | ÷ | ( | 50 | ÷ | x | ) | + | 13 2 |
| 方程两边同时乘以： | ( | 40 | ÷ | x | ) | , | ( | 50 | ÷ | 1 | ) |
507 1000 | ( | ( | 90 | ÷ | x | ) | + | 15 | ) | ( | 50 | ÷ | 1 | ) | + | 17 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | = | 493 1000 | ( | ( | 90 | ÷ | x | ) | + | 15 | ) | ( | 40 | ÷ | 1 | ) | + | 13 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) |
507 1000 | ( | 90 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | + | 507 1000 | × | 15 | ( | 50 | ÷ | 1 | ) | + | 17 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | = | 493 1000 | ( | ( | 90 | ÷ | x | ) | + | 15 | ) | ( | 40 | ÷ | 1 | ) | + | 13 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) |
507 1000 | ( | 90 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | + | 507 1000 | × | 15 | ( | 50 | ÷ | 1 | ) | + | 17 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | = | 493 1000 | ( | 90 | ÷ | x | ) | ( | 40 | ÷ | 1 | ) | + | 493 1000 | × | 15 | ( | 40 | ÷ | 1 | ) | + | 13 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) |
507 1000 | ( | 90 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | + | 1521 200 | ( | 50 | ÷ | 1 | ) | + | 17 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | = | 493 1000 | ( | 90 | ÷ | x | ) | ( | 40 | ÷ | 1 | ) | + | 1479 200 | ( | 40 | ÷ | 1 | ) | + | 13 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) |
507 1000 | × | 90 | ÷ | x | × | ( | 50 | ÷ | 1 | ) | + | 1521 200 | ( | 50 | ÷ | 1 | ) | + | 17 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | = | 493 1000 | ( | 90 | ÷ | x | ) | ( | 40 | ÷ | 1 | ) | + | 1479 200 | ( | 40 | ÷ | 1 | ) | + | 13 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) |
507 1000 | × | 90 | ÷ | x | × | ( | 50 | ÷ | 1 | ) | + | 1521 200 | ( | 50 | ÷ | 1 | ) | + | 17 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | = | 493 1000 | × | 90 | ÷ | x | × | ( | 40 | ÷ | 1 | ) | + | 1479 200 | ( | 40 | ÷ | 1 | ) | + | 13 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) |
4563 100 | ÷ | x | × | ( | 50 | ÷ | 1 | ) | + | 1521 200 | ( | 50 | ÷ | 1 | ) | + | 17 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) | = | 4437 100 | ÷ | x | × | ( | 40 | ÷ | 1 | ) | + | 1479 200 | ( | 40 | ÷ | 1 | ) | + | 13 2 | ( | 40 | ÷ | x | ) | ( | 50 | ÷ | 1 | ) |
| 方程两边同时乘以： | x |
4563 100 | ( | 50 | ÷ | 1 | ) | + | 1521 200 | ( | 50 | ÷ | 1 | ) | x | + | 17 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | × | 1 | = | 4437 100 | ÷ | 1 | × | ( | 40 | ÷ | 1 | ) | × | 1 | + | 1479 200 | ( | 40 | ÷ | 1 | ) | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | × | 1 |
4563 100 | × | 50 | ÷ | 1 | + | 1521 200 | ( | 50 | ÷ | 1 | ) | x | + | 17 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | × | 1 | = | 4437 100 | ÷ | 1 | × | ( | 40 | ÷ | 1 | ) | × | 1 | + | 1479 200 | ( | 40 | ÷ | 1 | ) | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | × | 1 |
4563 100 | × | 50 | ÷ | 1 | + | 1521 200 | ( | 50 | ÷ | 1 | ) | x | + | 17 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | × | 1 | = | 4437 100 | ÷ | 1 | × | 40 | ÷ | 1 | × | 1 | + | 1479 200 | ( | 40 | ÷ | 1 | ) | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | × | 1 |
4563 2 | + | 1521 200 | ( | 50 | ÷ | 1 | ) | x | + | 17 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | = | 8874 5 | + | 1479 200 | ( | 40 | ÷ | 1 | ) | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 200 | × | 50 | ÷ | 1 | × | x | + | 17 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | = | 8874 5 | + | 1479 200 | ( | 40 | ÷ | 1 | ) | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 200 | × | 50 | ÷ | 1 | × | x | + | 17 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | = | 8874 5 | + | 1479 200 | × | 40 | ÷ | 1 | × | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 4 | x | + | 17 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) | = | 8874 5 | + | 1479 5 | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 4 | x | + | 17 2 | × | 40 | ÷ | 1 | × | ( | 50 | ÷ | 1 | ) | = | 8874 5 | + | 1479 5 | x | + | 13 2 | ( | 40 | ÷ | 1 | ) | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 4 | x | + | 17 2 | × | 40 | ÷ | 1 | × | ( | 50 | ÷ | 1 | ) | = | 8874 5 | + | 1479 5 | x | + | 13 2 | × | 40 | ÷ | 1 | × | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 4 | x | + | 340 | ( | 50 | ÷ | 1 | ) | = | 8874 5 | + | 1479 5 | x | + | 260 | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 4 | x | + | 340 | × | 50 | ÷ | 1 | = | 8874 5 | + | 1479 5 | x | + | 260 | ( | 50 | ÷ | 1 | ) |
4563 2 | + | 1521 4 | x | + | 340 | × | 50 | ÷ | 1 | = | 8874 5 | + | 1479 5 | x | + | 260 | × | 50 | ÷ | 1 |
4563 2 | + | 1521 4 | x | + | 17000 | = | 8874 5 | + | 1479 5 | x | + | 13000 |
38563 2 | + | 1521 4 | x | = | 73874 5 | + | 1479 5 | x |
移项：即，把含有未知数的项移到方程左边，把只含有常数的项移到方程的右边。
注意，移项时，该项前面的正负号要改变，即，正号变为负号，而负号要改变为正号。这与方程两边同时加上或者减去该项是等价的。
1521 4 | x | − | 1479 5 | x | = | 73874 5 | − | 38563 2 |
合并方程左边含有未知数的各项：
1689 20 | x | = | 73874 5 | − | 38563 2 |
合并方程右边的各项：
1689 20 | x | = | - | 45067 10 |
把未知数的系数化为 1：
| x | = | - | 45067 10 | ÷ | 1689 20 |
| = | - | 45067 10 | × | 20 1689 |
| = | - | 45067 | × | 2 1689 |
得：
| x | = | - | 90134 1689 |
把结果化为小数形式：
| x | = | - 53.365305 |
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