cos^4(x)=4cos(x)

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


Simplifying
cos4(x) = 4cos(x)

Multiply cos4 * x
cos4x = 4cos(x)

Multiply cos * x
cos4x = 4cosx

Solving
cos4x = 4cosx

Solving for variable 'c'.

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

Add '-4cosx' to each side of the equation.
-4cosx + cos4x = 4cosx + -4cosx

Combine like terms: 4cosx + -4cosx = 0
-4cosx + cos4x = 0

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(-4 + s3) = 0


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

Simplifying
cosx = 0

Solving
cosx = 0

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

Simplifying
cosx = 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 '(-4 + s3)' equal to zero and attempt to solve:

Simplifying
-4 + s3 = 0

Solving
-4 + s3 = 0

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

Add '4' to each side of the equation.
-4 + 4 + s3 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + s3 = 0 + 4
s3 = 0 + 4

Combine like terms: 0 + 4 = 4
s3 = 4

Add '-1s3' to each side of the equation.
s3 + -1s3 = 4 + -1s3

Combine like terms: s3 + -1s3 = 0
0 = 4 + -1s3

Simplifying
0 = 4 + -1s3

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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