\[12x^{2} - 5x - 2 = 0\]
\[D = 25 + 96 = 121\]
\[x_{1} = \frac{5 + 11}{24} = \frac{16}{24} = \frac{2}{3};\]
\[x_{2} = \frac{5 - 11}{24} = - \frac{6}{24} = - \frac{1}{4}.\]
\[Ответ:\ \ x = - \frac{1}{4};\ \ x = \frac{2}{3}.\]