2e^2+4e=0

Solution for 2e^2+4e=0 equation:

Simplifying
2e2 + 4e = 0

Reorder the terms:
4e + 2e2 = 0

Solving
4e + 2e2 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '2e'.
2e(2 + e) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'e' equal to zero and attempt to solve:

Simplifying
e = 0

Solving
e = 0

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

Simplifying
e = 0
Subproblem 2
Set the factor '(2 + e)' equal to zero and attempt to solve:

Simplifying
2 + e = 0

Solving
2 + e = 0

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

Add '-2' to each side of the equation.
2 + -2 + e = 0 + -2

Combine like terms: 2 + -2 = 0
0 + e = 0 + -2
e = 0 + -2

Combine like terms: 0 + -2 = -2
e = -2

Simplifying
e = -2
Solution
e = {0, -2}