Trigonometric Functions And Equations

If the sum of solutions of the system of equations \(2 \sin ^{2} \theta-\cos 2 \theta=0\) and \(2 \cos ^{2} \theta+3 \sin \theta=0\) in the interval \([0,2 \pi]\) is \(k \pi\), then \(k\) is equal to __________.