Trigonometric Identities Section

[Paomaui]

Homework Statement

3sinx = 1 + cos 2x

Homework Equations

N/A

The Attempt at a Solution

3sinx = 1+1 - 2sin²x (Trigonometric Identity)
3sinx = 2-2sin²x
2sin²x + 3sinx = 2

I do not know where to go from there.
My book tells me the answer is 30^o and 150^o

 

[sjb-2812]

What happens when you take 2 away from both sides?