cos^2(4x)+cos(4x)=0

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Solution for cos^2(4x)+cos(4x)=0 equation: 


Simplifying
cos2(4x) + cos(4x) = 0

Remove parenthesis around (4x)
cos2 * 4x + cos(4x) = 0

Reorder the terms for easier multiplication:
4cos2 * x + cos(4x) = 0

Multiply cos2 * x
4cos2x + cos(4x) = 0

Remove parenthesis around (4x)
4cos2x + cos * 4x = 0

Reorder the terms for easier multiplication:
4cos2x + 4cos * x = 0

Multiply cos * x
4cos2x + 4cosx = 0

Reorder the terms:
4cosx + 4cos2x = 0

Solving
4cosx + 4cos2x = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), '4cosx'.
4cosx(1 + s) = 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 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

Solving
1 + s = 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 + s = 0 + -1

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

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

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

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

Simplifying
0 = -1 + -1s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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