3sin^2x + cos^2x = 2sin2x

3sin²x+cos²x-4sinxcosx=0/cos²x 3tg²x-4tgx+1=0 tgx=a 3a²-4a+1=0 D=16-12=4 a1=(4-2)/6=1/3⇒tgx=1/3⇒x=arctg1/3+πn,n∈z a2=(4+2)/6=1⇒tgx=1⇒x=π/4+πk,k∈z