What is the general solution for 3cos^2(θ)+cos(θ)=-2 ?

The general solution for 3cos^2(θ)+cos(θ)=-2 is No Solution for θ\in\mathbb{R}

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3cos^2(θ)+cos(θ)=-2

3 cos^{2} (θ) + cos (θ) = - 2

No Solution for θ \in R

Solution steps

3 cos^{2} (θ) + cos (θ) = - 2

Solve by substitution

cos (θ) = - \frac{1}{6} + i \frac{23}{6}, cos (θ) = - \frac{1}{6} - i \frac{23}{6}

cos (θ) = - \frac{1}{6} + i \frac{23}{6} :

No Solution

cos (θ) = - \frac{1}{6} - i \frac{23}{6} :

No Solution

Combine all the solutions

No Solution for θ \in R

\frac{( cos ( x ) cot ( x ) )}{( 1 - sin ( x ) ) - 1} = csc (x)

- 9 sin^{2} (θ) + cos (θ) + 19 = - 5 cos (θ) + 9

4 cos (θ) sin (θ) + 3 cos (θ) = 0

24 tan (2 x) sec^{2} (2 x) = 0

2 + 3 cos (θ) = 0

What is the general solution for 3cos^2(θ)+cos(θ)=-2 ?
The general solution for 3cos^2(θ)+cos(θ)=-2 is No Solution for θ\in\mathbb{R}