F(x)=x+2cosx

Solution for F(x)=x+2cosx equation:

Simplifying
F(x) = x + 2cosx

Multiply F * x
xF = x + 2cosx

Reorder the terms:
xF = 2cosx + x

Solving
xF = 2cosx + x

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 + x

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

Add '-1x' to each side of the equation.
-2cosx + -1x + xF = x + -1x

Combine like terms: x + -1x = 0
-2cosx + -1x + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2cos + -1 + 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 + -1 + F)' equal to zero and attempt to solve:

Simplifying
-2cos + -1 + F = 0

Reorder the terms:
-1 + F + -2cos = 0

Solving
-1 + F + -2cos = 0

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

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

Reorder the terms:
-1 + 1 + F + -2cos = 0 + 1

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

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

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

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

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

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

Simplifying
0 = 1 + -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}