[7/(x+3)-7/(x-3)]+[4/(x-2)-4/(x+2)]+[1/(x-1)-1/(x-1)]=0
[7(x-3-x-3)/(x²-9)]+[4(x+2-x+2)/(x²-4)]+[(x+1-x+1)/(x²-1)]=0
-42/(x²-9)+16/(x²-4)+2/(x²-1)=0
x≠+-3;x≠+-2;x≠+-1
x²-4=a⇒x²-9=a-4 U x²-1=a+3
-42/(a-5)+16/a+2/(a+3)=0
-42a(a+3)+16(a-5)(a+3)+2a(a-5)
-42a²-126a+16a²-32a-240+2a²-10a=0
-24a²-168a-240=0
a²+7a+10=0
a1+a2=-7 U a1*a2=10
a1=-5⇒x²-4=-5⇒x²=-1 нет решения
a2=-2⇒x²-4=-2⇒x²=2⇒x1=-√2 U x2=√2