F(x)=cos(-4x)

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Solution for F(x)=cos(-4x) equation: 


Simplifying
F(x) = cos(-4x)

Multiply F * x
xF = cos(-4x)

Remove parenthesis around (-4x)
xF = cos * -4x

Reorder the terms for easier multiplication:
xF = -4cos * x

Multiply cos * x
xF = -4cosx

Solving
xF = -4cosx

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(4cos + F) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(4cos + F)' equal to zero and attempt to solve:

Simplifying
4cos + F = 0

Reorder the terms:
F + 4cos = 0

Solving
F + 4cos = 0

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

Add '-1F' to each side of the equation.
F + -1F + 4cos = 0 + -1F

Combine like terms: F + -1F = 0
0 + 4cos = 0 + -1F
4cos = 0 + -1F
Remove the zero:
4cos = -1F

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

Combine like terms: 4cos + -4cos = 0
0 = -1F + -4cos

Simplifying
0 = -1F + -4cos

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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