Determine all solutions to the equation negative radical 2 times sine 2 times x equals sine squared x plus cosine squared x on the interval [0, 2π).

x equals 5 times pi over 8 comma 7 times pi over 8

x equals 5 times pi over 4 comma 7 times pi over 4

x equals 5 times pi over 8 comma 7 times pi over 8 comma 13 times pi over 8 comma 15 times pi over 8

x equals 5 times pi over 4 comma 7 times pi over 4 comma 9 times pi over 4 comma 11 times pi over 4