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