2Sin3x(1 - 4Sin(x)^2) = 1

Question

2Sin3x(1 - 4Sin(x)^2) = 1

Answer 1

2Sin3x(1 - 4Sin(x)^2) = 1
2sin3x=1                      1-4sin^2x=1
sin3x=1/2                      -4sin^2x=0                              
3x=arcsin1/2+pi/k         sin^2x=0
3x=pi/6+pi k                 x=pi+pi k
x=pi/18+pi k