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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