After you rearrange it to read
$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}\left({\mathtt{12}}{\mathtt{\,\times\,}}{\mathtt{x}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{16}} = {\mathtt{0}}$$
You will see that it cannot easily be factored. You must use the Quadratic Formula.
www.purplemath.com/modules/quadform.htm
This results in (x-10.47)(x-1.53)
Any error is because of rounding.
After you rearrange it to read
$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}\left({\mathtt{12}}{\mathtt{\,\times\,}}{\mathtt{x}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{16}} = {\mathtt{0}}$$
You will see that it cannot easily be factored. You must use the Quadratic Formula.
www.purplemath.com/modules/quadform.htm
This results in (x-10.47)(x-1.53)
Any error is because of rounding.