Question
$$5x^2+7x+\frac{8}{5} = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 7 }{ 10 }-\dfrac{\sqrt{ 17 }}{ 10 } & x_2 = -\dfrac{ 7 }{ 10 }+\dfrac{\sqrt{ 17 }}{ 10 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 5x^2+7x+\frac{8}{5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot5x^2+5\cdot7x+5\cdot\frac{8}{5} &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]25x^2+35x+8 &= 0&& \\[1 em] \end{aligned} $$
$ 25x^{2}+35x+8 = 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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