Question
$$x^2+(7x-25)^2 = 25$$
Answer
$$ \begin{matrix}x_1 = 3 & x_2 = 4 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x^2+(7x-25)^2 &= 25&& \text{simplify left side} \\[1 em]x^2+49x^2-350x+625 &= 25&& \\[1 em]50x^2-350x+625 &= 25&& \text{move all terms to the left hand side } \\[1 em]50x^2-350x+625-25 &= 0&& \text{simplify left side} \\[1 em]50x^2-350x+600 &= 0&& \\[1 em] \end{aligned} $$
$ 50x^{2}-350x+600 = 0 $ is a quadratic equation.
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