W(x)=x

Solution for W(x)=x equation:

Simplifying
W(x) = x

Multiply W * x
xW = x

Solving
xW = x

Solving for variable 'x'.

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

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

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

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

Simplifying
-1 + W = 0

Solving
-1 + W = 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 + W = 0 + 1

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

Combine like terms: 0 + 1 = 1
W = 1

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

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

Simplifying
0 = 1 + -1W

The solution to this equation could not be determined.

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