Question
$$x+3+2x^2-2x = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 1 }{ 4 }+\dfrac{\sqrt{ 23 }}{ 4 }i & x_2 = \dfrac{ 1 }{ 4 }-\dfrac{\sqrt{ 23 }}{ 4 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x+3+2x^2-2x &= 0&& \text{simplify left side} \\[1 em]2x^2-x+3 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}-x+3 = 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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