Cos(4x)=4cos(x)

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


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

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

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

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

Multiply cos * x
4osxC = 4cosx

Solving
4osxC = 4cosx

Solving for variable 'o'.

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

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

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

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

Ignore the factor 4.

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 '(-1c + C)' equal to zero and attempt to solve:

Simplifying
-1c + C = 0

Reorder the terms:
C + -1c = 0

Solving
C + -1c = 0

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

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

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

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

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

Simplifying
0 = -1C + 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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