We have to solve 2*sin 2x + sqrt 2 = 0

2*sin 2x + sqrt 2 = 0

=> 2*sin 2x = -sqrt 2

=> sin 2x = -1/sqrt 2

2x = arc sin (-1/sqrt 2)

=> 2x = -45 and -135

x = -45/2 + n*180 and x = -135/2 + n*180

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