\(\left(x-2\right)^2+\left(x-2\right)=0\)
\(\left(x-2\right)\left[\left(x-2\right)+1\right]=0\)
\(\left(x-2\right)\left(x-1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-2=0\\x-1=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=1\end{cases}}\)
\(\left(x-2\right)^2+\left(x-2\right)=0\)
\(\Rightarrow\left(x-2\right).\left(x-2\right)+\left(x-2\right)=0\)
\(\Rightarrow\left(x-2\right).\left[\left(x-2\right)+1\right]=0\)
\(\Rightarrow\left(x-2\right).\left(x-1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-2=0\\x-1=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=1\end{cases}}\)
