\(2x\left(x-3\right)+x^2-9=0\)
\(\Leftrightarrow2x\left(x-3\right)+\left(x-3\right)\left(x+3\right)=0\)
\(\Leftrightarrow\left(x-3\right)\left(2x+x+3\right)=0\)
\(\Leftrightarrow\left(x-3\right)\left(3x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3=0\\3x+3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-1\end{matrix}\right.\)