$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{x}} = -{\mathtt{1}}$$
$$\\x^2+4x=-1\\
x^2+4x+1=0\\$$
Use the quadratic formula :)
$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\sqrt{{\mathtt{3}}}}{\mathtt{\,-\,}}{\mathtt{2}}\\
{\mathtt{x}} = {\sqrt{{\mathtt{3}}}}{\mathtt{\,-\,}}{\mathtt{2}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{3.732\: \!050\: \!807\: \!568\: \!877\: \!3}}\\
{\mathtt{x}} = -{\mathtt{0.267\: \!949\: \!192\: \!431\: \!122\: \!7}}\\
\end{array} \right\}$$
$$\\x^2+4x=-1\\
x^2+4x+1=0\\$$
Use the quadratic formula :)
$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\sqrt{{\mathtt{3}}}}{\mathtt{\,-\,}}{\mathtt{2}}\\
{\mathtt{x}} = {\sqrt{{\mathtt{3}}}}{\mathtt{\,-\,}}{\mathtt{2}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{3.732\: \!050\: \!807\: \!568\: \!877\: \!3}}\\
{\mathtt{x}} = -{\mathtt{0.267\: \!949\: \!192\: \!431\: \!122\: \!7}}\\
\end{array} \right\}$$