Solve the Quadratic Equation Using the Most Efficient Technique (Factoring $\frac{3}{4} x^{2}+\frac{1}{2} x+\frac{1}{12}=0$

Multiple Choice

Solve the quadratic equation using the most efficient technique (factoring, extracting square roots, completing the square, or the quadratic formula) .
- $\frac{3}{4} x^{2}+\frac{1}{2} x+\frac{1}{12}=0$

A) $\left\{\frac{-1+\sqrt{2}}{3}, \frac{-1-\sqrt{2}}{3}\right\}$

B) $\left\{\frac{1}{3},-\frac{1}{3}\right\}$

C) $\left\{\frac{1}{3}\right\}$

D) $\left\{-\frac{1}{3}\right\}$