\(\left(x+3\right)^2=72.2\\ \left(x+3\right)^2=144\\=>\left[{}\begin{matrix}x+3=12\\x+3=-12\end{matrix}\right.=>\left[{}\begin{matrix}x=9\\x=-15\end{matrix}\right. \)
\(\dfrac{x+3}{72}=\dfrac{2}{x+3}\)
\(\Rightarrow\left(x+3\right)^2=72.2\)
\(\Rightarrow\left(x+3\right)^2=144=\left(\pm12\right)^2\)
\(\Rightarrow\left[{}\begin{matrix}x+3=12\\x+3=-12\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=9\\x=-15\end{matrix}\right.\)