If the sum of solutions of the system of equations 2 sin^2 θ- cos 2 θ=0 and 2 cos^2 θ+3 sin θ=0 in the interval [0,2 π] is k π, then k is equal to \…

If the sum of solutions of the system of equations $\displaystyle 2 \sin ^2 \theta-\cos 2 \theta=0$ and $\displaystyle 2 \cos ^2 \theta+3 \sin \theta=0$ in the interval $\displaystyle [0,2 \pi]$ is $\displaystyle k \pi$, then $\displaystyle k$ is equal to \_\_\_\_.