Question
$$0 = 358773+5684x+17x^2$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 2842 }{ 17 }-\dfrac{\sqrt{ 1977823 }}{ 17 } & x_2 = -\dfrac{ 2842 }{ 17 }+\dfrac{\sqrt{ 1977823 }}{ 17 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 0 &= 358773+5684x+17x^2&& \text{simplify right side} \\[1 em]0 &= 17x^2+5684x+358773&& \text{move all terms to the left hand side } \\[1 em]0-17x^2-5684x-358773 &= 0&& \text{simplify left side} \\[1 em]-17x^2-5684x-358773 &= 0&& \\[1 em] \end{aligned} $$
$ -17x^{2}-5684x-358773 = 0 $ is a quadratic equation.
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