Solve the Quadratic Equation Using the Most Efficient Technique (Factoring $6 x^{2}+6 x+1=0$

Multiple Choice

Solve the quadratic equation using the most efficient technique (factoring, extracting square roots, completing the square, or the quadratic formula) .
- $6 x^{2}+6 x+1=0$

A) $\left\{\frac{-3 \pm \sqrt{3}}{6}\right\}$

B) $\left\{\frac{-3 \pm \sqrt{15}}{6}\right\}$

C) $\left\{\frac{-3 \pm \sqrt{3}}{12}\right\}$

D) $\left\{\frac{-6 \pm \sqrt{3}}{6}\right\}$