Cos(4x)=cos(7x)

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Solution for Cos(4x)=cos(7x) equation: 


Simplifying
Cos(4x) = cos(7x)

Remove parenthesis around (4x)
osC * 4x = cos(7x)

Reorder the terms for easier multiplication:
4osC * x = cos(7x)

Multiply osC * x
4osxC = cos(7x)

Remove parenthesis around (7x)
4osxC = cos * 7x

Reorder the terms for easier multiplication:
4osxC = 7cos * x

Multiply cos * x
4osxC = 7cosx

Solving
4osxC = 7cosx

Solving for variable 'o'.

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

Add '-7cosx' to each side of the equation.
-7cosx + 4osxC = 7cosx + -7cosx

Combine like terms: 7cosx + -7cosx = 0
-7cosx + 4osxC = 0

Factor out the Greatest Common Factor (GCF), 'osx'.
osx(-7c + 4C) = 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 '(-7c + 4C)' equal to zero and attempt to solve:

Simplifying
-7c + 4C = 0

Reorder the terms:
4C + -7c = 0

Solving
4C + -7c = 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 + -7c = 0 + -4C

Combine like terms: 4C + -4C = 0
0 + -7c = 0 + -4C
-7c = 0 + -4C
Remove the zero:
-7c = -4C

Add '7c' to each side of the equation.
-7c + 7c = -4C + 7c

Combine like terms: -7c + 7c = 0
0 = -4C + 7c

Simplifying
0 = -4C + 7c

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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