If the equation m(x-1)=2011-n(x-2) for x has infinite roots,then m^2011+n^2011=___（英汉小词典：equation方程,infinite roots无数个根）

If the equation m(x-1)=2011-n(x-2) for x has infinite roots,then m^2011+n^2011=___（英汉小词典：equation方程,infinite roots无数个根）
If the equation m(x-1)=2011-n(x-2) for x has infinite roots,then m^2011+n^2011=___
（英汉小词典：equation方程,infinite roots无数个根）

If the equation m(x-1)=2011-n(x-2) for x has infinite roots,then m^2011+n^2011=___（英汉小词典：equation方程,infinite roots无数个根）
m(x-1)=2011-n(x-2)
mx-m=2011-nx+2n
(m+n)x=2011+2n+m
因为方程有无数解
所以m+n=0,所以n=-m
所以m^2011+n^2011=m^2011-m^2011=0