Question
$$4x^2+2 = -8x$$
Answer
$$ \begin{matrix}x_1 = -1-\dfrac{\sqrt{ 2 }}{ 2 } & x_2 = -1+\dfrac{\sqrt{ 2 }}{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 4x^2+2 &= -8x&& \text{move all terms to the left hand side } \\[1 em]4x^2+2+8x &= 0&& \text{simplify left side} \\[1 em]4x^2+8x+2 &= 0&& \\[1 em] \end{aligned} $$
$ 4x^{2}+8x+2 = 0 $ is a quadratic equation.
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