Question

x(x-2)+x-2=0

Answer 1

\(x\left(x-2\right)+x-2=0\)

\(\Rightarrow x\left(x-2\right)+\left(x-2\right)=0\)

\(\Rightarrow\left(x-2\right)\left(x+1\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)

Answer 2

\(\left(x+1\right)\left(x-2\right)=0\)

\(\left[{}\begin{matrix}x+1=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=2\end{matrix}\right.\)