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 -80/3(2*80/3(1-x)+3)+80/3(40x+40/3(1-x)+4)+20(30x+10(1-x)+2)-20(60(1-x)+1)+90/3(80x+80/3(1-x)+1)+20(60x+20(1-x)+1) = 0 的解.
题型：方程
解:原方程：
方程化为：
去掉方程左边的括号：
x≈0.125543 ，保留6位小数
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》
☆方程1题
〖 1/1方程〗
作业：求方程 -80/3(2*80/3(1-x)+3)+80/3(40x+40/3(1-x)+4)+20(30x+10(1-x)+2)-20(60(1-x)+1)+90/3(80x+80/3(1-x)+1)+20(60x+20(1-x)+1) = 0 的解.
题型：方程
解:原方程：
| - | 80 | ÷ | 3 | × | ( | 2 | × | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 3 | ) | + | 80 | ÷ | 3 | × | ( | 40 | x | + | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 4 | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 90 | ÷ | 3 | = | 0 |
| 方程左边 = | - | 80 3 | ( | 2 | × | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 3 | ) | + | 80 3 | ( | 40 | x | + | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 4 | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| - | 80 3 | ( | 2 | × | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 3 | ) | + | 80 3 | ( | 40 | x | + | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 4 | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) | = | 0 |
| 方程左边 = | - | 80 3 | × | 2 | × | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | − | 80 3 | × | 3 | + | 80 3 | ( | 40 | x | + | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 4 | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 |
| = | - | 12800 9 | ( | 1 | − | x | ) | − | 80 | + | 80 3 | ( | 40 | x | + | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 4 | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 |
| = | - | 12800 9 | × | 1 | + | 12800 9 | x | − | 80 | + | 80 3 | ( | 40 | x | + | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 4 | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 |
| = | - | 12800 9 | + | 12800 9 | x | − | 80 | + | 80 3 | ( | 40 | x | + | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 4 | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 13520 9 | + | 12800 9 | x | + | 80 3 | ( | 40 | x | + | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 4 | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 |
| = | - | 13520 9 | + | 12800 9 | x | + | 80 3 | × | 40 | x | + | 80 3 | × | 40 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 80 3 | × | 4 |
| = | - | 13520 9 | + | 12800 9 | x | + | 3200 3 | x | + | 3200 9 | ( | 1 | − | x | ) | + | 320 3 | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 12560 9 | + | 22400 9 | x | + | 3200 9 | ( | 1 | − | x | ) | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 |
| = | - | 12560 9 | + | 22400 9 | x | + | 3200 9 | × | 1 | − | 3200 9 | x | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 |
| = | - | 12560 9 | + | 22400 9 | x | + | 3200 9 | − | 3200 9 | x | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 1040 | + | 6400 3 | x | + | 20 | ( | 30 | x | + | 10 | ( | 1 | − | x | ) | + | 2 | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 1040 | + | 6400 3 | x | + | 20 | × | 30 | x | + | 20 | × | 10 | ( | 1 | − | x | ) | + | 20 | × | 2 | − | 20 |
| = | - | 1040 | + | 6400 3 | x | + | 600 | x | + | 200 | ( | 1 | − | x | ) | + | 40 | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 1000 | + | 8200 3 | x | + | 200 | ( | 1 | − | x | ) | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 1000 | + | 8200 3 | x | + | 200 | × | 1 | − | 200 | x | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 |
| = | - | 1000 | + | 8200 3 | x | + | 200 | − | 200 | x | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 800 | + | 7600 3 | x | − | 20 | ( | 60 | ( | 1 | − | x | ) | + | 1 | ) | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 800 | + | 7600 3 | x | − | 20 | × | 60 | ( | 1 | − | x | ) | − | 20 | × | 1 | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 800 | + | 7600 3 | x | − | 1200 | ( | 1 | − | x | ) | − | 20 | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 820 | + | 7600 3 | x | − | 1200 | ( | 1 | − | x | ) | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 820 | + | 7600 3 | x | − | 1200 | × | 1 | + | 1200 | x | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 820 | + | 7600 3 | x | − | 1200 | + | 1200 | x | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
| = | - | 2020 | + | 11200 3 | x | + | 30 | ( | 80 | x | + | 80 | ÷ | 3 | × | ( | 1 | − | x | ) | + | 1 | ) | + | 20 | ( | 60 | x | + | 20 | ( | 1 | − | x | ) | + | 1 | ) |
x≈0.125543 ，保留6位小数
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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