Question
$$(15x-17)^2 = 64$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 3 }{ 5 } & x_2 = \dfrac{ 5 }{ 3 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (15x-17)^2 &= 64&& \text{simplify left side} \\[1 em]225x^2-510x+289 &= 64&& \text{move all terms to the left hand side } \\[1 em]225x^2-510x+289-64 &= 0&& \text{simplify left side} \\[1 em]225x^2-510x+225 &= 0&& \\[1 em] \end{aligned} $$
$ 225x^{2}-510x+225 = 0 $ is a quadratic equation.
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