分式方程2x^2-6x/x^-9-x+3/3-x-2x+6/x^2+6x+9=9急求！！有悬赏！！！

分式方程2x^2-6x/x^-9-x+3/3-x-2x+6/x^2+6x+9=9急求！！有悬赏！！！
分式方程2x^2-6x/x^-9-x+3/3-x-2x+6/x^2+6x+9=9
急求！！有悬赏！！！

分式方程2x^2-6x/x^-9-x+3/3-x-2x+6/x^2+6x+9=9急求！！有悬赏！！！
(2x^2-6x)/(x^-9)-(x+3)/(3-x)-(2x+6)/(x^2+6x+9)=9
2x(x-3)/(x+3)(x-3)+(x+3)/(x-3)-2(x+3)/(x+3)²=9
2x/(x+3)+(x+3)/(x-3)-2/(x+3)=9
两边同乘以(x+3)(x-3)
2x(x-3)+(x+3)²-2(x-3)=9(x²-9)
2x²-6x+x²+6x+9-2x+6=9x²-81
6x²+2x-96=0
3x²+x=48
(x²+x/3)=16
(x+1/6)²=16+1/36
(x+1/6)²=577/36
x+1/6=±(√577)/6
x=-(1+√577)/6或x=-(1-√577)/6