How do you solve(trig/calc) problem?

Question

2 cos squared x+ sin x=2 [0,2pi]

Answer 1

2 cos ^2 x+ sin x=2
2 - 2sin^2x +sinx = 2
sinx(1-2sinx) = 0
x = 0, pi, 2pi, pi/6, 5pi/6

Answer 2

2(1-sin^2x)+ sinx-2 =0 -2sin^2x +sinx =0 sin(x)*(-2sinx+1)=0

sin x= 0 x= 0 and x= pi ( -2sin x +1)= 0 sin x=1/2
x= pi/6 and x=5pi/6