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

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

Simplifying
cos(4x) + cos(2x) = cos(x)

Remove parenthesis around (4x)
cos * 4x + cos(2x) = cos(x)

Reorder the terms for easier multiplication:
4cos * x + cos(2x) = cos(x)

Multiply cos * x
4cosx + cos(2x) = cos(x)

Remove parenthesis around (2x)
4cosx + cos * 2x = cos(x)

Reorder the terms for easier multiplication:
4cosx + 2cos * x = cos(x)

Multiply cos * x
4cosx + 2cosx = cos(x)

Combine like terms: 4cosx + 2cosx = 6cosx
6cosx = cos(x)

Multiply cos * x
6cosx = cosx

Solving
6cosx = cosx

Solving for variable 'c'.

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

Add '-1cosx' to each side of the equation.
6cosx + -1cosx = cosx + -1cosx

Combine like terms: 6cosx + -1cosx = 5cosx
5cosx = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
5cosx = 0

Divide each side by '5'.
cosx = 0

Simplifying
cosx = 0

The solution to this equation could not be determined.