Question
$$4s^2+540s-\frac{92}{47} = 0$$
Answer
$$ \begin{matrix}s_1 = -\dfrac{ 135 }{ 2 }-\dfrac{ 7 \sqrt{ 821701}}{ 94 } & s_2 = -\dfrac{ 135 }{ 2 }+\dfrac{ 7 \sqrt{ 821701}}{ 94 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 4s^2+540s-\frac{92}{47} &= 0&& \text{multiply ALL terms by } \color{blue}{ 47 }. \\[1 em]47\cdot4s^2+47\cdot540s-47\cdot\frac{92}{47} &= 47\cdot0&& \text{cancel out the denominators} \\[1 em]188s^2+25380s-92 &= 0&& \\[1 em] \end{aligned} $$
$ 188x^{2}+25380x-92 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
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