E(x)+x=0

Solution for E(x)+x=0 equation:

Simplifying
E(x) + x = 0

Multiply E * x
xE + x = 0

Reorder the terms:
x + xE = 0

Solving
x + xE = 0

Solving for variable 'x'.

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

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

Simplifying
1 + E = 0

Solving
1 + E = 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 + E = 0 + -1

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

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

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

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

Simplifying
0 = -1 + -1E

The solution to this equation could not be determined.

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