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