$$\frac{27}{6}x^2-\frac{3}{6}x-10^6 = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 1 }{ 18 }-\dfrac{\sqrt{ 72000001 }}{ 18 } & x_2 = \dfrac{ 1 }{ 18 }+\dfrac{\sqrt{ 72000001 }}{ 18 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{27}{6}x^2-\frac{3}{6}x-10^6 &= 0&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{27}{6}x^2-6\frac{3}{6}x-6\cdot10^6 &= 6\cdot0&& \text{cancel out the denominators} \\[1 em]27x^2-3x-6000000 &= 0&& \\[1 em] \end{aligned} $$
$ 27x^{2}-3x-6000000 = 0 $ is a quadratic equation.
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