2+6x-x^2 = 0 multiply through by -1 and rearrange
x^2 - 6x - 2 = 0 this will not factor.......using the on-site solver (and the quadratic formula), we have...
$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{6}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{2}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{3}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{11}}}}\\
{\mathtt{x}} = {\sqrt{{\mathtt{11}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{0.316\: \!624\: \!790\: \!355\: \!399\: \!8}}\\
{\mathtt{x}} = {\mathtt{6.316\: \!624\: \!790\: \!355\: \!399\: \!8}}\\
\end{array} \right\}$$
2+6x-x^2 = 0 multiply through by -1 and rearrange
x^2 - 6x - 2 = 0 this will not factor.......using the on-site solver (and the quadratic formula), we have...
$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{6}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{2}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{3}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{11}}}}\\
{\mathtt{x}} = {\sqrt{{\mathtt{11}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{0.316\: \!624\: \!790\: \!355\: \!399\: \!8}}\\
{\mathtt{x}} = {\mathtt{6.316\: \!624\: \!790\: \!355\: \!399\: \!8}}\\
\end{array} \right\}$$