Question
$$19900x^2-200x+\frac{2}{25} = 0$$
Answer
$$ \begin{matrix}x_1 = 0.0004 & x_2 = 0.0096 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 19900x^2-200x+\frac{2}{25} &= 0&& \text{multiply ALL terms by } \color{blue}{ 25 }. \\[1 em]25\cdot19900x^2-25\cdot200x+25\cdot\frac{2}{25} &= 25\cdot0&& \text{cancel out the denominators} \\[1 em]497500x^2-5000x+2 &= 0&& \\[1 em] \end{aligned} $$
$ 497500x^{2}-5000x+2 = 0 $ is a quadratic equation.
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