Find the general solution of the equation 4 sin x cos x + 2 sin x + 2 cos x +1 = 0.

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Solution

$x = 2 n π \pm \frac{2 π}{3}, n ϵ l$

or

$x = m π + (- 1)^{m} \frac{7 π}{6}, m ϵ l$

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