solve 2sin^2 theta-7 sin theta= -3 for theta, where 0<theta<360 degrees

Answer 1

2sinØ - 7sinØ + 3 = 0
(2sinØ -1)(sinØ - 3) = 0
sinØ = 1/2 or sinØ = 3 , that last part is not possible
Ø = 30° or x = 150°