Question
$$8x^2-2x+10-9x^2+10x-2 = 0$$
Answer
$$ \begin{matrix}x_1 = 4-2 \sqrt{ 6 } & x_2 = 4+2 \sqrt{ 6 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 8x^2-2x+10-9x^2+10x-2 &= 0&& \text{simplify left side} \\[1 em]-x^2+8x+8 &= 0&& \\[1 em] \end{aligned} $$
$ -x^{2}+8x+8 = 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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