1/(x2-2x-3) +2/(x2-x-6) +3/(x2+3x+2)=0
1/(x-3)(x+1)+2/(x-3)(x+2)+3/(x+1)(x+2)=0
两边同乘以(x+1)(x+2)(x-3)得：
(x+2)+2(x+1)+3(x-3)=0
x+2+2x+2+3x-9=0
6x=5
x=5/6
1/(x-3)(x+1)+2/(x-3)(x+2)+1/ (x+2)(x+1)=0
通分，公分母为（x-3)(x+1)(x+2)
[(x+2)+2(x+1)+3(x-3)]/（x-3)(x+1)(x+2)=0
（6x-5）/（x-3)(x+1)(x+2)=0
（x-3)(x+1)(x+2)≠0
则 x=5/6
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