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

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


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

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

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

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

Multiply cos2 * x
4cos2x + cos(2x) = 0

Remove parenthesis around (2x)
4cos2x + cos * 2x = 0

Reorder the terms for easier multiplication:
4cos2x + 2cos * x = 0

Multiply cos * x
4cos2x + 2cosx = 0

Reorder the terms:
2cosx + 4cos2x = 0

Solving
2cosx + 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), '2cosx'.
2cosx(1 + 2s) = 0

Ignore the factor 2.

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 + 2s)' equal to zero and attempt to solve:

Simplifying
1 + 2s = 0

Solving
1 + 2s = 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 + 2s = 0 + -1

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

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

Add '-2s' to each side of the equation.
2s + -2s = -1 + -2s

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

Simplifying
0 = -1 + -2s

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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