15l=20l^2

Solution for 15l=20l^2 equation:

Simplifying
15l = 20l2

Solving
15l = 20l2

Solving for variable 'l'.

Combine like terms: 20l2 + -20l2 = 0
15l + -20l2 = 0

Factor out the Greatest Common Factor (GCF), '5l'.
5l(3 + -4l) = 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 '(3 + -4l)' equal to zero and attempt to solve:

Simplifying
3 + -4l = 0

Solving
3 + -4l = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4l = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4l = 0 + -3
-4l = 0 + -3

Combine like terms: 0 + -3 = -3
-4l = -3

Divide each side by '-4'.
l = 0.75

Simplifying
l = 0.75
Solution
l = {0, 0.75}