\(\left(x+\frac{1}{2}\right)\left(2x-4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x+\frac{1}{2}=0\\2x-4=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0-\frac{1}{2}\\2x=0+4\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{-1}{2}\\x=4:2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{-1}{2}\\x=2\end{cases}}\)