$$\frac{25}{4}x^2+\frac{225}{2}x+\frac{317575}{4} = 0$$
Answer
$$ \begin{matrix}x_1 = -9+\sqrt{ 12622 }i & x_2 = -9-\sqrt{ 12622 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{25}{4}x^2+\frac{225}{2}x+\frac{317575}{4} &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{25}{4}x^2+4\frac{225}{2}x+4\cdot\frac{317575}{4} &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]25x^2+450x+317575 &= 0&& \\[1 em] \end{aligned} $$
$ 25x^{2}+450x+317575 = 0 $ is a quadratic equation.
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