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Solve the following equation on the interval $[0, 2\pi)$:

$$\cos{2\theta}+2\sin{\theta}=-3$$

This equation is not solvable.

$\cfrac{\pi}{2}$

$\cfrac{3\pi}{2}$

$\cfrac{\pi}{2}, \cfrac{3\pi}{2}$

$0, \pi, \cfrac{\pi}{2}, \cfrac{3\pi}{2}$