x=cos(x)

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Solution for x=cos(x) equation: 


Simplifying
x = cos(x)

Multiply cos * x
x = cosx

Solving
x = cosx

Solving for variable 'x'.

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

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

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

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

Simplifying
-1cos + 1 = 0

Reorder the terms:
1 + -1cos = 0

Solving
1 + -1cos = 0

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

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

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

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

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

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

Simplifying
0 = -1 + cos

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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