(1-cos(-x))(1+cos(x))=

Solution for (1-cos(-x))(1+cos(x))= equation:

Simplifying
(1 + -1cos(-1x))(1 + cos(x)) = 0

Remove parenthesis around (-1x)
(1 + -1cos * -1x)(1 + cos(x)) = 0

Reorder the terms for easier multiplication:
(1 + -1 * -1cos * x)(1 + cos(x)) = 0

Multiply -1 * -1
(1 + 1cos * x)(1 + cos(x)) = 0

Multiply cos * x
(1 + 1cosx)(1 + cos(x)) = 0

Multiply cos * x
(1 + 1cosx)(1 + cosx) = 0

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

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

Solving
1 + 2cosx + 1c2o2s2x2 = 0

Solving for variable 'c'.

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

Subproblem 1
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
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 = {-1o-1s-1x-1, -1o-1s-1x-1}