\(x^2-4x+3=0\)
=>\(x^2-x-3x+3=0\)
=>\(x\left(x+1\right)-3\left(x-1\right)=0\)
=>\(\left(x-3\right)\left(x-1\right)=0\)
=>\(\orbr{\begin{cases}x-3=0\\x-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=3\\x=1\end{cases}}}\)
\(x^2-4x+3=0\)
\(\Leftrightarrow\left(x^2-x\right)-\left(3x-3\right)=0\)
\(\Leftrightarrow x\left(x-1\right)-3\left(x-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x-3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=0\\x-3=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=1\\x=3\end{cases}}\)
\(x^2-4x+3=0\)
\(\Leftrightarrow\left(x^2-x\right)-\left(3x-3\right)=0\)
\(\Leftrightarrow x\left(x-1\right)-3\left(x-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x-3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=0\\x-3=0\end{cases}}\)\(\Leftrightarrow\orbr{\begin{cases}x=1\\x=3\end{cases}}\)
