Question
$$25xx+x+1 = 9$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 1 }{ 50 }-\dfrac{ 3 \sqrt{ 89}}{ 50 } & x_2 = -\dfrac{ 1 }{ 50 }+\dfrac{ 3 \sqrt{ 89}}{ 50 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 25xx+x+1 &= 9&& \text{move all terms to the left hand side } \\[1 em]25x^2+x+1-9 &= 0&& \text{simplify left side} \\[1 em]25x^2+x-8 &= 0&& \\[1 em] \end{aligned} $$
$ 25x^{2}+x-8 = 0 $ is a quadratic equation.
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