(2+cosx)(1+cosx)=0

Solution for (2+cosx)(1+cosx)=0 equation:

Simplifying
(2 + cosx)(1 + cosx) = 0

Multiply (2 + cosx) * (1 + cosx)
(2(1 + cosx) + cosx(1 + cosx)) = 0
((1 * 2 + cosx * 2) + cosx(1 + cosx)) = 0
((2 + 2cosx) + cosx(1 + cosx)) = 0
(2 + 2cosx + (1 * cosx + cosx * cosx)) = 0
(2 + 2cosx + (1cosx + c2o2s2x2)) = 0

Combine like terms: 2cosx + 1cosx = 3cosx
(2 + 3cosx + c2o2s2x2) = 0

Solving
2 + 3cosx + c2o2s2x2 = 0

Solving for variable 'c'.

Factor a trinomial.
(2 + cosx)(1 + cosx) = 0

Subproblem 1
Set the factor '(2 + cosx)' equal to zero and attempt to solve:

Simplifying
2 + cosx = 0

Solving
2 + cosx = 0

Move all terms containing c to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + cosx = 0 + -2

Combine like terms: 2 + -2 = 0
0 + cosx = 0 + -2
cosx = 0 + -2

Combine like terms: 0 + -2 = -2
cosx = -2

Divide each side by 'osx'.
c = -2o-1s-1x-1

Simplifying
c = -2o-1s-1x-1
Subproblem 2
Set the factor '(1 + cosx)' equal to zero and attempt to solve:

Simplifying
1 + cosx = 0

Solving
1 + cosx = 0

Move all terms containing c to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + cosx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + cosx = 0 + -1
cosx = 0 + -1

Combine like terms: 0 + -1 = -1
cosx = -1

Divide each side by 'osx'.
c = -1o-1s-1x-1

Simplifying
c = -1o-1s-1x-1
Solution
c = {-2o-1s-1x-1, -1o-1s-1x-1}