If x^2 + 5x + 6 = 0 , then the value of 2xx^2 - 7x + 6 is?

Answer: Option C

$$\begin{array}{rl}& \text{If }{x}^2+5x+6=0\\ & \text{then, }{x}^2+6=-5x\\ & \text{So,}\frac{2x}{x^2+6-7x}\\ & =\frac{2x}{-5x-7x}\\ & =\frac{2x}{-12x}\\ & =-\frac{1}{6}\end{array}$$