x=e(x)

Solution for x=e(x) equation:

Simplifying
x = e(x)

Multiply e * x
x = ex

Solving
x = ex

Solving for variable 'x'.

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

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

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

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

Simplifying
-1e + 1 = 0

Reorder the terms:
1 + -1e = 0

Solving
1 + -1e = 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 + -1e = 0 + -1

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

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

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

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

Simplifying
0 = -1 + e

The solution to this equation could not be determined.

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