2 sin^2 (x) + 3 sin (x) + 1 = 0
sin (x) = t
so sin (x) = -1/2 and sin (x) = -1
on the interval [0, 2pi) sin (x) = -1/2 when x = 7pi/6 and x = 11pi/6
on the interval [0, 2pi) sin (x) = -1 when x = 3pi/2
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