Question
$$(30x-31)^2 = 361$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 2 }{ 5 } & x_2 = \dfrac{ 5 }{ 3 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (30x-31)^2 &= 361&& \text{simplify left side} \\[1 em]900x^2-1860x+961 &= 361&& \text{move all terms to the left hand side } \\[1 em]900x^2-1860x+961-361 &= 0&& \text{simplify left side} \\[1 em]900x^2-1860x+600 &= 0&& \\[1 em] \end{aligned} $$
$ 900x^{2}-1860x+600 = 0 $ is a quadratic equation.
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