Answer:
x = 3/2 π (270°)
Step-by-step explanation
2sin²x =sin x+3
2sin²x - sin x - 3 = 0
(sin x + 1) (2sin x - 3) = 0
-1 ≤ sin x ≤ 1
sin x = -1
x = 3/2 π (270°) or -π/2 + 2kπ (k = ..., -1, 0 , 1, ...)
