F(x)=cos(2x)

Solution for F(x)=cos(2x) equation:

Simplifying
F(x) = cos(2x)

Multiply F * x
xF = cos(2x)

Remove parenthesis around (2x)
xF = cos * 2x

Reorder the terms for easier multiplication:
xF = 2cos * x

Multiply cos * x
xF = 2cosx

Solving
xF = 2cosx

Solving for variable 'x'.

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

Add '-2cosx' to each side of the equation.
-2cosx + xF = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
-2cosx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2cos + 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 '(-2cos + F)' equal to zero and attempt to solve:

Simplifying
-2cos + F = 0

Reorder the terms:
F + -2cos = 0

Solving
F + -2cos = 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 + -2cos = 0 + -1F

Combine like terms: F + -1F = 0
0 + -2cos = 0 + -1F
-2cos = 0 + -1F
Remove the zero:
-2cos = -1F

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

Combine like terms: -2cos + 2cos = 0
0 = -1F + 2cos

Simplifying
0 = -1F + 2cos

The solution to this equation could not be determined.

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