Question
$$\frac{49}{10}x^2-20x-24 = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 100 }{ 49 }-\dfrac{ 16 \sqrt{ 85}}{ 49 } & x_2 = \dfrac{ 100 }{ 49 }+\dfrac{ 16 \sqrt{ 85}}{ 49 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{49}{10}x^2-20x-24 &= 0&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10 \cdot \frac{49}{10}x^2-10\cdot20x-10\cdot24 &= 10\cdot0&& \text{cancel out the denominators} \\[1 em]49x^2-200x-240 &= 0&& \\[1 em] \end{aligned} $$
$ 49x^{2}-200x-240 = 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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