Question
$$8x^2+2 = -12x$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 3 }{ 4 }-\dfrac{\sqrt{ 5 }}{ 4 } & x_2 = -\dfrac{ 3 }{ 4 }+\dfrac{\sqrt{ 5 }}{ 4 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 8x^2+2 &= -12x&& \text{move all terms to the left hand side } \\[1 em]8x^2+2+12x &= 0&& \text{simplify left side} \\[1 em]8x^2+12x+2 &= 0&& \\[1 em] \end{aligned} $$
$ 8x^{2}+12x+2 = 0 $ is a quadratic equation.
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