F(x)=cos(8x)

Solution for F(x)=cos(8x) equation:

Simplifying
F(x) = cos(8x)

Multiply F * x
xF = cos(8x)

Remove parenthesis around (8x)
xF = cos * 8x

Reorder the terms for easier multiplication:
xF = 8cos * x

Multiply cos * x
xF = 8cosx

Solving
xF = 8cosx

Solving for variable 'x'.

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

Add '-8cosx' to each side of the equation.
-8cosx + xF = 8cosx + -8cosx

Combine like terms: 8cosx + -8cosx = 0
-8cosx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8cos + 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 '(-8cos + F)' equal to zero and attempt to solve:

Simplifying
-8cos + F = 0

Reorder the terms:
F + -8cos = 0

Solving
F + -8cos = 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 + -8cos = 0 + -1F

Combine like terms: F + -1F = 0
0 + -8cos = 0 + -1F
-8cos = 0 + -1F
Remove the zero:
-8cos = -1F

Add '8cos' to each side of the equation.
-8cos + 8cos = -1F + 8cos

Combine like terms: -8cos + 8cos = 0
0 = -1F + 8cos

Simplifying
0 = -1F + 8cos

The solution to this equation could not be determined.

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