What is the sum of all positive real solutions x to the equation
2 \cos (2 x)\left(\cos (2 x)-\cos \left(\dfrac{2014 \pi^{2}}{x}\right)\right)=\cos (4 x)-1 ?
Answer Choices
A. \pi
B. 810 \pi
C. 1008 \pi
D. 1080 \pi
E. 1800 \pi
What is the sum of all positive real solutions x to the equation
Answer Choices
A. \pi
B. 810 \pi
C. 1008 \pi
D. 1080 \pi
E. 1800 \pi