The solution of x, which satisfy the equation tan3x−tan2x1+tan3x.tanx=1 is

tan3x−tan2x1+tan3xtan2x=1⇒tan(3x−2x)=1⇒tanx=tanπ4⇒x=nπ+π4,n∈IIf n is an integer then 2x=2nπ+π2 and  tan2x  becomes infinite which does not satisfy the given equation∴there is no solution