(|x|-6)/(x²-5x-6)=0 /估计是你抄错题了,x-5x-6应该是x²-5x-6
去分母,等式两边同乘以x²-5x-6
|x|-6=0
|x|=6
x=6或x=-6,代入分式方程检验,x=6时,x²-5x-6=0,分式无意义,x=6是方程的增根.
综上,得x=-6