Two times the square of a number, added to twelve times the number, equals -1. Find all such numbers.
A. [tex] -3+\sqrt{34}, -3-\sqrt{34} [/tex]
B. [tex] \frac{-6+\sqrt{34}}{4}, \frac{-6-\sqrt{34}}{4} [/tex]
C. [tex] \frac{-12+\sqrt{34}}{2}, \frac{-12-\sqrt{34}}{2} [/tex]
D. [tex] \frac{-6+\sqrt{34}}{2}, \frac{-6-\sqrt{34}}{2} [/tex]