l^2+2l=0

Solution for l^2+2l=0 equation:

Simplifying
l2 + 2l = 0

Reorder the terms:
2l + l2 = 0

Solving
2l + l2 = 0

Solving for variable 'l'.

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

Subproblem 1
Set the factor 'l' equal to zero and attempt to solve:

Simplifying
l = 0

Solving
l = 0

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

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

Simplifying
2 + l = 0

Solving
2 + l = 0

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

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

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

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

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