去括号得：-24+x2+4x+3=x2-9，
移项合并得：4x=-12，
解得：x=-3，
经检验x=-3是增根，分式方程无解；
②方程变形得：
| 1 |
| 3 |
| 1 |
| x |
| 1 |
| x+3 |
| 1 |
| x+3 |
| 1 |
| x+6 |
| 1 |
| x+6 |
| 1 |
| x+9 |
| 3 |
| 2(x+9) |
即
| 1 |
| x |
| 1 |
| x+9 |
| 9 |
| 2(x+9) |
去分母得：2（x+9）-2x=9x，
解得：x=2，
经检验x=2是分式方程的解．
| 24 |
| 9−x2 |
| x+1 |
| x−3 |
| 1 |
| x(x+3) |
| 1 |
| (x+3)(x+6) |
| 1 |
| (x+6)(x+9) |
| 3 |
| 2x+18 |
| 1 |
| 3 |
| 1 |
| x |
| 1 |
| x+3 |
| 1 |
| x+3 |
| 1 |
| x+6 |
| 1 |
| x+6 |
| 1 |
| x+9 |
| 3 |
| 2(x+9) |
| 1 |
| x |
| 1 |
| x+9 |
| 9 |
| 2(x+9) |