$c + b^Tx + x^TAx = 0$. Is there a general solution for x?

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I have an equation which looks like : \begin{align} c + b^Tx + x^TAx = 0 \end{align} Where $c \in \mathbb{R}, b \in \mathbb{R}^2 $ and $A \in \mathbb{R}^{2 \times 2} $ are known. Is there a general solution to this problem for $x$ ?