2cos^2(2x)-cos(x)=0

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


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

Remove parenthesis around (2x)
2cos2 * 2x + -1cos(x) = 0

Reorder the terms for easier multiplication:
2 * 2cos2 * x + -1cos(x) = 0

Multiply 2 * 2
4cos2 * x + -1cos(x) = 0

Multiply cos2 * x
4cos2x + -1cos(x) = 0

Multiply cos * x
4cos2x + -1cosx = 0

Reorder the terms:
-1cosx + 4cos2x = 0

Solving
-1cosx + 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), 'cosx'.
cosx(-1 + 4s) = 0


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 + 4s)' equal to zero and attempt to solve:

Simplifying
-1 + 4s = 0

Solving
-1 + 4s = 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 + 4s = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4s = 0 + 1
4s = 0 + 1

Combine like terms: 0 + 1 = 1
4s = 1

Add '-4s' to each side of the equation.
4s + -4s = 1 + -4s

Combine like terms: 4s + -4s = 0
0 = 1 + -4s

Simplifying
0 = 1 + -4s

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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