Question
$$-x^2+6x^2-12x+8 = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 6 }{ 5 }+\dfrac{ 2 }{ 5 }i & x_2 = \dfrac{ 6 }{ 5 }-\dfrac{ 2 }{ 5 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} -x^2+6x^2-12x+8 &= 0&& \text{simplify left side} \\[1 em]5x^2-12x+8 &= 0&& \\[1 em] \end{aligned} $$
$ 5x^{2}-12x+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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