Question
$$-\frac{3}{4}s^2+2s+1 = 0$$
Answer
$$ \begin{matrix}s_1 = \dfrac{ 4 }{ 3 }-\dfrac{ 2 \sqrt{ 7}}{ 3 } & s_2 = \dfrac{ 4 }{ 3 }+\dfrac{ 2 \sqrt{ 7}}{ 3 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} -\frac{3}{4}s^2+2s+1 &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]-4 \cdot \frac{3}{4}s^2+4\cdot2s+4\cdot1 &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]-3s^2+8s+4 &= 0&& \\[1 em] \end{aligned} $$
$ -3x^{2}+8x+4 = 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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