Question
$$-x^2+2+3x^2-7x+8 = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 7 }{ 4 }+\dfrac{\sqrt{ 31 }}{ 4 }i & x_2 = \dfrac{ 7 }{ 4 }-\dfrac{\sqrt{ 31 }}{ 4 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} -x^2+2+3x^2-7x+8 &= 0&& \text{simplify left side} \\[1 em]2x^2-7x+10 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}-7x+10 = 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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