What is the general solution for cos^2(x)+5cos(x)=cos(x)-3 ?

The general solution for cos^2(x)+5cos(x)=cos(x)-3 is x=pi+2pin

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cos^2(x)+5cos(x)=cos(x)-3

cos^{2} (x) + 5 cos (x) = cos (x) - 3

x = π + 2 πn

Solution steps

cos^{2} (x) + 5 cos (x) = cos (x) - 3

Solve by substitution

cos (x) = - 1, cos (x) = - 3

cos (x) = - 1 : x = π + 2 πn

cos (x) = - 3 :

No Solution

Combine all the solutions

x = π + 2 πn

- 9 sin (x) - 9 cos (x) = 0

cot (x) = \frac{1}{3}

sin (x) = \frac{5}{2}

2 sin^{2} (θ) + 2 sin (θ) = 0

cos (3.7 x + 5.2) = 0

What is the general solution for cos^2(x)+5cos(x)=cos(x)-3 ?
The general solution for cos^2(x)+5cos(x)=cos(x)-3 is x=pi+2pin