Sin2x-2sinx + cosx-1 = 0, solution X

Sin2x-2sinx + cosx-1 = 0, solution X

Sin2x = 2sinx * cosx, have you ever learned this formula
The original equation can be reduced to 2sinx * cosx-2sinx + cosx-1 = 0
The factorization results in (2sinx + 1) (cosx-1) = 0
So SiNx = - 1 / 2 or cosx = 1
So x = 2K pie-pie / 6 (k is an integer) or x = 2K pie-5 Pie / 6 (k is an integer) or x = 2K pie (k is an integer)