Решите уравнение \(2\sin 2x \sin 5x +\cos 7x=0.\)

• \(\frac{\pi}{6}+\frac{\pi n}{3}, n\in Z\)
• \(\frac{\pi}{6}+\frac{2\pi n}{3}, n\in Z\)
• \(\frac{\pi}{2}+\pi n, n\in Z\)
• \(\frac{\pi n}{3}, n\in Z\)