x(x-2)-3x+6=0
<=>x(x-2)-3(x-2)=0
<=>(x-2)(x-3)=0
<=>*x-2=0 *x-3=0
x=2 x=3
\(x(x-2)-3x+6=0\)
\(<=>x(x-2)-3(x-2)=0\)
\(<=>(x-2)(x-3)=0\)
\(<=>\) \(\left[{}\begin{matrix}x-2=0\\x-3=0\end{matrix}\right.< =>\left[{}\begin{matrix}x=2\\x=3\end{matrix}\right.\)