Question
$$n^2-\frac{9}{25} = 0$$
Answer
$$ \begin{matrix}n_1 = \dfrac{ 3 }{ 5 } & n_2 = -\dfrac{ 3 }{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} n^2-\frac{9}{25} &= 0&& \text{multiply ALL terms by } \color{blue}{ 25 }. \\[1 em]25n^2-25\cdot\frac{9}{25} &= 25\cdot0&& \text{cancel out the denominators} \\[1 em]25n^2-9 &= 0&& \\[1 em] \end{aligned} $$
$ 25x^{2}-9 = 0 $ is a quadratic equation.
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