cos*4*x(cos*x-1)=0

Solution for cos*4*x(cos*x-1)=0 equation:

Simplifying
cos * 4x(cos * x + -1) = 0

Multiply cos * x
cos * 4x(cosx + -1) = 0

Reorder the terms:
cos * 4x(-1 + cosx) = 0

Reorder the terms for easier multiplication:
4cos * x(-1 + cosx) = 0

Multiply cos * x
4cosx(-1 + cosx) = 0
(-1 * 4cosx + cosx * 4cosx) = 0
(-4cosx + 4c2o2s2x2) = 0

Solving
-4cosx + 4c2o2s2x2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4cosx'.
4cosx(-1 + cosx) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve:

Simplifying
cosx = 0

Solving
cosx = 0

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

Simplifying
cosx = 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 + 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 = o-1s-1x-1

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