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Another contributor says:

Yes, x=0 is a solution, but there are a lot more.

sin(2x) = sin(x) whenever

x = (N pi) radians

or

x = (2N-1) pi / 3 radians.

1 radian = 57.3 degrees (rounded)

Make ' N ' any whole number you want.

The first cycle of angles are:

X = pi/3, pi, 5 pi/3, 2 pi radians

or 60, 180, 300, 360 degrees.

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