6cos2x - 14cos²x - 7sin2x = 0
6cos²x - 6sin²x - 14cos²x - 14 sinx·cosx =0
-8cos²x - 6sin²x - 14sinx·cosx = 0
4cos²x + 3sin²x + 7sinx·cosx = 0 :cos²x
4 + 3tg²x + 7tgx = 0
замена tgx = у
3у² + 7у + 4 = 0
D = 49 - 48 = 1
у1 = (-7 -1): 6 = -4/3
у2 = (-7 +1): 6 = -1
tgx1 = -4/3
х1 = -arctg (4/3) + πk k∈Z
tgx2 = -1
х1 = -π/4 + πk k∈Z