+130515 Multiply everything through by 100 to clear the decimals.
26x^2 - 105x - 100 = 0
This doesn't look "factorable".........let's use the on-site solver. (And the quadratic formula!!)......
$${\mathtt{26}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{105}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{100}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{\left({\mathtt{5}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{857}}}}{\mathtt{\,-\,}}{\mathtt{105}}\right)}{{\mathtt{52}}}}\\
{\mathtt{x}} = {\frac{\left({\mathtt{5}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{857}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{105}}\right)}{{\mathtt{52}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{0.795\: \!630\: \!993\: \!904\: \!701\: \!4}}\\
{\mathtt{x}} = {\mathtt{4.834\: \!092\: \!532\: \!366\: \!239\: \!8}}\\
\end{array} \right\}$$
And there are the two solutions ..... !!!
+130515 Multiply everything through by 100 to clear the decimals.
26x^2 - 105x - 100 = 0
This doesn't look "factorable".........let's use the on-site solver. (And the quadratic formula!!)......
$${\mathtt{26}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{105}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{100}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{\left({\mathtt{5}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{857}}}}{\mathtt{\,-\,}}{\mathtt{105}}\right)}{{\mathtt{52}}}}\\
{\mathtt{x}} = {\frac{\left({\mathtt{5}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{857}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{105}}\right)}{{\mathtt{52}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{0.795\: \!630\: \!993\: \!904\: \!701\: \!4}}\\
{\mathtt{x}} = {\mathtt{4.834\: \!092\: \!532\: \!366\: \!239\: \!8}}\\
\end{array} \right\}$$
And there are the two solutions ..... !!!
