=(cos^2(x))*(1+cos(2x))

Solution for =(cos^2(x))*(1+cos(2x)) equation:

Simplifying
0 = (cos2(x))(1 + cos(2x))

Multiply cos2 * x
0 = (cos2x)(1 + cos(2x))

Remove parenthesis around (2x)
0 = cos2x(1 + cos * 2x)

Reorder the terms for easier multiplication:
0 = cos2x(1 + 2cos * x)

Multiply cos * x
0 = cos2x(1 + 2cosx)
0 = (1 * cos2x + 2cosx * cos2x)
0 = (1cos2x + 2c2o2s3x2)

Solving
0 = 1cos2x + 2c2o2s3x2

Solving for variable 'c'.
Remove the zero:
-1cos2x + -2c2o2s3x2 = 1cos2x + 2c2o2s3x2 + -1cos2x + -2c2o2s3x2

Reorder the terms:
-1cos2x + -2c2o2s3x2 = 1cos2x + -1cos2x + 2c2o2s3x2 + -2c2o2s3x2

Combine like terms: 1cos2x + -1cos2x = 0
-1cos2x + -2c2o2s3x2 = 0 + 2c2o2s3x2 + -2c2o2s3x2
-1cos2x + -2c2o2s3x2 = 2c2o2s3x2 + -2c2o2s3x2

Combine like terms: 2c2o2s3x2 + -2c2o2s3x2 = 0
-1cos2x + -2c2o2s3x2 = 0

Factor out the Greatest Common Factor (GCF), '-1cos2x'.
-1cos2x(1 + 2cosx) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'cos2x' equal to zero and attempt to solve:

Simplifying
cos2x = 0

Solving
cos2x = 0

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

Simplifying
cos2x = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + 2cosx)' equal to zero and attempt to solve:

Simplifying
1 + 2cosx = 0

Solving
1 + 2cosx = 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 + 2cosx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2cosx = 0 + -1
2cosx = 0 + -1

Combine like terms: 0 + -1 = -1
2cosx = -1

Divide each side by '2osx'.
c = -0.5o-1s-1x-1

Simplifying
c = -0.5o-1s-1x-1
Solution
c = {-0.5o-1s-1x-1}