Question
$$x^2+(3x+13)^2 = 25$$
Answer
$$ \begin{matrix}x_1 = -3 & x_2 = -\dfrac{ 24 }{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x^2+(3x+13)^2 &= 25&& \text{simplify left side} \\[1 em]x^2+9x^2+78x+169 &= 25&& \\[1 em]10x^2+78x+169 &= 25&& \text{move all terms to the left hand side } \\[1 em]10x^2+78x+169-25 &= 0&& \text{simplify left side} \\[1 em]10x^2+78x+144 &= 0&& \\[1 em] \end{aligned} $$
$ 10x^{2}+78x+144 = 0 $ is a quadratic equation.
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