Solve the Equation $\frac{4}{3 x}-\frac{1}{x+1}=\frac{1}{2 x^{2}+2 x}$ A) $\{-5\}$ B) $\left\{-\frac{5}{2}\right\}$ C) $\left\{-\frac{5}{6}\right\}$ D) $\varnothing$

Solve the equation.
- $\frac{4}{3 x}-\frac{1}{x+1}=\frac{1}{2 x^{2}+2 x}$

A) $\{-5\}$

B) $\left\{-\frac{5}{2}\right\}$

C) $\left\{-\frac{5}{6}\right\}$

D) $\varnothing$