(3-2x)/(x-3)+(2+mx)/(3-x)=-1,
(3-2x)/(x-3)-(2+mx)/(x-3)=-1,
两边同时乘以(x-3)(3-2x)-(2+mx)=-(x-3),
3-2x-2-mx=-x+3,
-x-mx=2,
-(1+m)x=2x=-2/(m+1),
分类讨论,要使原方程无解,(1)x=3(x=3是方程的增根),得,
-(1+m)*3=2,
m=-5/3.,
(2)1+m=0,则x的值无意义,∴m=-1,
嘻嘻……综上,当m=-1和-5/3时,原方程无解.