4x^2+9x=360 subtract 360 from each side
Here are the answers using the on-site solver and the Quadratic Formula
$${\mathtt{4}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{360}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{\left({\mathtt{3}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{649}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}\right)}{{\mathtt{8}}}}\\
{\mathtt{x}} = {\frac{\left({\mathtt{3}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{649}}}}{\mathtt{\,-\,}}{\mathtt{9}}\right)}{{\mathtt{8}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{10.678\: \!304\: \!402\: \!142\: \!747\: \!6}}\\
{\mathtt{x}} = {\mathtt{8.428\: \!304\: \!402\: \!142\: \!747\: \!6}}\\
\end{array} \right\}$$
4x^2+9x=360 subtract 360 from each side
Here are the answers using the on-site solver and the Quadratic Formula
$${\mathtt{4}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{360}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{\left({\mathtt{3}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{649}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}\right)}{{\mathtt{8}}}}\\
{\mathtt{x}} = {\frac{\left({\mathtt{3}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{649}}}}{\mathtt{\,-\,}}{\mathtt{9}}\right)}{{\mathtt{8}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{10.678\: \!304\: \!402\: \!142\: \!747\: \!6}}\\
{\mathtt{x}} = {\mathtt{8.428\: \!304\: \!402\: \!142\: \!747\: \!6}}\\
\end{array} \right\}$$