Question 25
What is the sum of all positive real solutions $x$ to the equation $$
\begin{gathered} \small 2\cos(2x)\left(\cos(2x) - \cos\left(\dfrac{2014\pi^2}{x}\right)\right) \\ = \cos(4x) - 1? \end{gathered}
$$
\begin{gathered} \small 2\cos(2x)\left(\cos(2x) - \cos\left(\dfrac{2014\pi^2}{x}\right)\right) \\ = \cos(4x) - 1? \end{gathered}
$$