Cos(4v)=cos(v)

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Solution for Cos(4v)=cos(v) equation: 


Simplifying
Cos(4v) = cos(v)

Remove parenthesis around (4v)
osC * 4v = cos(v)

Reorder the terms for easier multiplication:
4osC * v = cos(v)

Multiply osC * v
4osvC = cos(v)

Multiply cos * v
4osvC = cosv

Solving
4osvC = cosv

Solving for variable 'o'.

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

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

Combine like terms: cosv + -1cosv = 0
-1cosv + 4osvC = 0

Factor out the Greatest Common Factor (GCF), 'osv'.
osv(-1c + 4C) = 0


Subproblem 1
Set the factor 'osv' equal to zero and attempt to solve:

Simplifying
osv = 0

Solving
osv = 0

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

Simplifying
osv = 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 '(-1c + 4C)' equal to zero and attempt to solve:

Simplifying
-1c + 4C = 0

Reorder the terms:
4C + -1c = 0

Solving
4C + -1c = 0

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

Add '-4C' to each side of the equation.
4C + -4C + -1c = 0 + -4C

Combine like terms: 4C + -4C = 0
0 + -1c = 0 + -4C
-1c = 0 + -4C
Remove the zero:
-1c = -4C

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

Combine like terms: -1c + c = 0
0 = -4C + c

Simplifying
0 = -4C + c

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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