Question
$$x+10-(x^2-10x+9) = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 11 }{ 2 }-\dfrac{ 5 \sqrt{ 5}}{ 2 } & x_2 = \dfrac{ 11 }{ 2 }+\dfrac{ 5 \sqrt{ 5}}{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x+10-(x^2-10x+9) &= 0&& \text{simplify left side} \\[1 em]x+10-x^2+10x-9 &= 0&& \\[1 em]-x^2+11x+1 &= 0&& \\[1 em] \end{aligned} $$
$ -x^{2}+11x+1 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
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