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

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


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

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

Multiply cos * x
cos2x + cosx = cos(2x)

Reorder the terms:
cosx + cos2x = cos(2x)

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

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

Multiply cos * x
cosx + cos2x = 2cosx

Solving
cosx + cos2x = 2cosx

Solving for variable 'c'.

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

Add '-2cosx' to each side of the equation.
cosx + -2cosx + cos2x = 2cosx + -2cosx

Combine like terms: cosx + -2cosx = -1cosx
-1cosx + cos2x = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
-1cosx + cos2x = 0

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