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2sin squared x= 1-cosx

Ok this is what i did.

2sin Squared x- sinx= 0

Let u= sinx

2uSquared - u=0

u(2u-1)=0

u=0, u=one half.

sinx=0, sinx=1/2

Now x= o and 2pie. And for the other part it get x=pie/6 and 5pie/6. Now i checked my answers with the sheet as it says answers and it says the answers are 0, 2pie, 2pie/3, 4pie/3. Now 2pie/3 is square root of 3/2 and 4pie/3 is -square root3/2. What did i do wrong?