Cos(5y)=cos(y)

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Solution for Cos(5y)=cos(y) equation: 


Simplifying
Cos(5y) = cos(y)

Remove parenthesis around (5y)
osC * 5y = cos(y)

Reorder the terms for easier multiplication:
5osC * y = cos(y)

Multiply osC * y
5osyC = cos(y)

Multiply cos * y
5osyC = cosy

Solving
5osyC = cosy

Solving for variable 'o'.

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

Add '-1cosy' to each side of the equation.
-1cosy + 5osyC = cosy + -1cosy

Combine like terms: cosy + -1cosy = 0
-1cosy + 5osyC = 0

Factor out the Greatest Common Factor (GCF), 'osy'.
osy(-1c + 5C) = 0


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

Simplifying
osy = 0

Solving
osy = 0

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

Simplifying
osy = 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 + 5C)' equal to zero and attempt to solve:

Simplifying
-1c + 5C = 0

Reorder the terms:
5C + -1c = 0

Solving
5C + -1c = 0

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

Add '-5C' to each side of the equation.
5C + -5C + -1c = 0 + -5C

Combine like terms: 5C + -5C = 0
0 + -1c = 0 + -5C
-1c = 0 + -5C
Remove the zero:
-1c = -5C

Add 'c' to each side of the equation.
-1c + c = -5C + c

Combine like terms: -1c + c = 0
0 = -5C + c

Simplifying
0 = -5C + 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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