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它支持数学函数（包括三角函数）。
直接输入数学计算式，点击“下一步”按钮，即可获得计算答案。
它支持数学函数（包括三角函数）。
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总述：本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业：求方程 x(x+1)(x+2)(x+3)(x+4)(x+5)(x+6) = 0 的解.
题型：方程
解:原方程：
| x | ( | x | + | 1 | ) | ( | x | + | 2 | ) | ( | x | + | 3 | ) | ( | x | + | 4 | ) | ( | x | + | 5 | ) | ( | x | + | 6 | ) | = | 0 |
| 方程左边 = | x | x | ( | x | + | 2 | ) | ( | x | + | 3 | ) | ( | x | + | 4 | ) | ( | x | + | 5 | ) | ( | x | + | 6 | ) | + | x | × | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) | ( | x | + | 4 | ) |
| = | x | x | x | ( | x | + | 3 | ) | ( | x | + | 4 | ) | ( | x | + | 5 | ) | ( | x | + | 6 | ) | + | x | x | × | 2 | ( | x | + | 3 | ) | ( | x | + | 4 | ) |
| = | x | x | x | x | ( | x | + | 4 | ) | ( | x | + | 5 | ) | ( | x | + | 6 | ) | + | x | x | x | × | 3 | ( | x | + | 4 | ) |
| = | x | x | x | x | x | ( | x | + | 5 | ) | ( | x | + | 6 | ) | + | x | x | x | x | × | 4 |
| = | x | x | x | x | x | x | ( | x | + | 6 | ) | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
| = | x | x | x | x | x | x | x | + | x | x | x | x | x |
方程化为一般式后，用因式分解法化为：
( x + 6 )( x + 5 )( x + 4 )( x + 3 )( x + 2 )( x + 1 )( x +0 )=0
由
x + 6 = 0
x + 5 = 0
x + 4 = 0
x + 3 = 0
x + 2 = 0
x + 1 = 0
x + 0 = 0
得：
x1=-6
x2=-5
x3=-4
x4=-3
x5=-2
x6=-1
x7=0
有 7个解。
解程的详细方法请参阅：《方程的解法》
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