Question
$$3439x^2+39577x = 20487$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 2083 }{ 362 }-\dfrac{\sqrt{ 1848158101 }}{ 6878 } & x_2 = -\dfrac{ 2083 }{ 362 }+\dfrac{\sqrt{ 1848158101 }}{ 6878 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 3439x^2+39577x &= 20487&& \text{move all terms to the left hand side } \\[1 em]3439x^2+39577x-20487 &= 0&& \\[1 em] \end{aligned} $$
$ 3439x^{2}+39577x-20487 = 0 $ is a quadratic equation.
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