5l^2-10l=0

Solution for 5l^2-10l=0 equation:

Simplifying
5l2 + -10l = 0

Reorder the terms:
-10l + 5l2 = 0

Solving
-10l + 5l2 = 0

Solving for variable 'l'.

Factor out the Greatest Common Factor (GCF), '5l'.
5l(-2 + l) = 0

Ignore the factor 5.
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}