Solve 2 cos2 omega 3 cos omega 1 0 for all solutions o le

Solve 2 cos^2 (omega) - 3 cos (omega) + 1 = 0 for all solutions o lessthanorequalto omega

2cos^2w -3cosw +1 =0

interval 0 <= w<2pi

factorise: 2cos^2w -3cosw +1 =0

2cos^2w -2cosw -cosw +1 =0

2cosw( cosw -1) -1( cosw -1) =0

(2cosw -1)(cosw -1) =0

cosw = 1/2

w = pi/3 , 2pi- pi/3 = pi/3 , 5pi/3

cosw =1

w = 0

w = 0 , pi/3 , 5pi/3 rad