4cos^5(x)-cos(x)=0

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Solution for 4cos^5(x)-cos(x)=0 equation: 


Simplifying
4cos5(x) + -1cos(x) = 0

Multiply cos5 * x
4cos5x + -1cos(x) = 0

Multiply cos * x
4cos5x + -1cosx = 0

Reorder the terms:
-1cosx + 4cos5x = 0

Solving
-1cosx + 4cos5x = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(-1 + 4s4) = 0

Factor a difference between two squares.
cosx((1 + 2s2)(-1 + 2s2)) = 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 '(1 + 2s2)' equal to zero and attempt to solve:

Simplifying
1 + 2s2 = 0

Solving
1 + 2s2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2s2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2s2 = 0 + -1
2s2 = 0 + -1

Combine like terms: 0 + -1 = -1
2s2 = -1

Add '-2s2' to each side of the equation.
2s2 + -2s2 = -1 + -2s2

Combine like terms: 2s2 + -2s2 = 0
0 = -1 + -2s2

Simplifying
0 = -1 + -2s2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(-1 + 2s2)' equal to zero and attempt to solve:

Simplifying
-1 + 2s2 = 0

Solving
-1 + 2s2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2s2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2s2 = 0 + 1
2s2 = 0 + 1

Combine like terms: 0 + 1 = 1
2s2 = 1

Add '-2s2' to each side of the equation.
2s2 + -2s2 = 1 + -2s2

Combine like terms: 2s2 + -2s2 = 0
0 = 1 + -2s2

Simplifying
0 = 1 + -2s2

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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