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$$2 \cdot \frac{x^2}{3}+13\frac{x^1}{3}+20 = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 13 }{ 4 }+\dfrac{\sqrt{ 311 }}{ 4 }i & x_2 = -\dfrac{ 13 }{ 4 }-\dfrac{\sqrt{ 311 }}{ 4 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 2 \cdot \frac{x^2}{3}+13\frac{x^1}{3}+20 &= 0&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot2 \cdot \frac{x^2}{3}+3\cdot13\frac{x^1}{3}+3\cdot20 &= 3\cdot0&& \text{cancel out the denominators} \\[1 em]2x^2+13x+60 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}+13x+60 = 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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