[tex] \frac{2x+4}{x-1}+4=0\\\\x-1\neq 0\\\\x\neq 1\\\\D=R\setminus \left \{ 1 \right \} [/tex]
[tex]\frac{2x+4 +4(x-1)}{x-1}=0\\\\\frac{2x+4 +4 x-4}{x-1}=0\\\\\frac{6x}{x-1}=0\\\\6x=0\ \ |:6\\\\x=0[/tex]