Question
$$(10x-5)^2 = 1$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 2 }{ 5 } & x_2 = \dfrac{ 3 }{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (10x-5)^2 &= 1&& \text{simplify left side} \\[1 em]100x^2-100x+25 &= 1&& \text{move all terms to the left hand side } \\[1 em]100x^2-100x+25-1 &= 0&& \text{simplify left side} \\[1 em]100x^2-100x+24 &= 0&& \\[1 em] \end{aligned} $$
$ 100x^{2}-100x+24 = 0 $ is a quadratic equation.
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