+130516 I think you might mean....4x^2 + 3x - 2 =0
This will not factor....using the onsite solver, we have
$${\mathtt{0.4}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{2}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{305}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15}}\right)}{{\mathtt{4}}}}\\
{\mathtt{x}} = {\frac{\left({\sqrt{{\mathtt{305}}}}{\mathtt{\,-\,}}{\mathtt{15}}\right)}{{\mathtt{4}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{8.116\: \!062\: \!299\: \!143\: \!245\: \!2}}\\
{\mathtt{x}} = {\mathtt{0.616\: \!062\: \!299\: \!143\: \!245\: \!2}}\\
\end{array} \right\}$$
+130516 I think you might mean....4x^2 + 3x - 2 =0
This will not factor....using the onsite solver, we have
$${\mathtt{0.4}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{2}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{305}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{15}}\right)}{{\mathtt{4}}}}\\
{\mathtt{x}} = {\frac{\left({\sqrt{{\mathtt{305}}}}{\mathtt{\,-\,}}{\mathtt{15}}\right)}{{\mathtt{4}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{8.116\: \!062\: \!299\: \!143\: \!245\: \!2}}\\
{\mathtt{x}} = {\mathtt{0.616\: \!062\: \!299\: \!143\: \!245\: \!2}}\\
\end{array} \right\}$$
