$$\frac{56}{23}x-31x^2 = 69$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 28 }{ 713 }+\dfrac{\sqrt{ 1130747 }}{ 713 }i & x_2 = \dfrac{ 28 }{ 713 }-\dfrac{\sqrt{ 1130747 }}{ 713 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{56}{23}x-31x^2 &= 69&& \text{multiply ALL terms by } \color{blue}{ 23 }. \\[1 em]23 \cdot \frac{56}{23}x-23\cdot31x^2 &= 23\cdot69&& \text{cancel out the denominators} \\[1 em]56x-713x^2 &= 1587&& \text{simplify left side} \\[1 em]-713x^2+56x &= 1587&& \text{move all terms to the left hand side } \\[1 em]-713x^2+56x-1587 &= 0&& \\[1 em] \end{aligned} $$
$ -713x^{2}+56x-1587 = 0 $ is a quadratic equation.
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