Cos(5x)=cos(3x)

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Solution for Cos(5x)=cos(3x) equation: 


Simplifying
Cos(5x) = cos(3x)

Remove parenthesis around (5x)
osC * 5x = cos(3x)

Reorder the terms for easier multiplication:
5osC * x = cos(3x)

Multiply osC * x
5osxC = cos(3x)

Remove parenthesis around (3x)
5osxC = cos * 3x

Reorder the terms for easier multiplication:
5osxC = 3cos * x

Multiply cos * x
5osxC = 3cosx

Solving
5osxC = 3cosx

Solving for variable 'o'.

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

Add '-3cosx' to each side of the equation.
-3cosx + 5osxC = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
-3cosx + 5osxC = 0

Factor out the Greatest Common Factor (GCF), 'osx'.
osx(-3c + 5C) = 0


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

Simplifying
osx = 0

Solving
osx = 0

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

Simplifying
osx = 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 '(-3c + 5C)' equal to zero and attempt to solve:

Simplifying
-3c + 5C = 0

Reorder the terms:
5C + -3c = 0

Solving
5C + -3c = 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 + -3c = 0 + -5C

Combine like terms: 5C + -5C = 0
0 + -3c = 0 + -5C
-3c = 0 + -5C
Remove the zero:
-3c = -5C

Add '3c' to each side of the equation.
-3c + 3c = -5C + 3c

Combine like terms: -3c + 3c = 0
0 = -5C + 3c

Simplifying
0 = -5C + 3c

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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