l^2+5l-300=0

Solution for l^2+5l-300=0 equation:

Simplifying
l2 + 5l + -300 = 0

Reorder the terms:
-300 + 5l + l2 = 0

Solving
-300 + 5l + l2 = 0

Solving for variable 'l'.

Factor a trinomial.
(-20 + -1l)(15 + -1l) = 0

Subproblem 1
Set the factor '(-20 + -1l)' equal to zero and attempt to solve:

Simplifying
-20 + -1l = 0

Solving
-20 + -1l = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1l = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1l = 0 + 20
-1l = 0 + 20

Combine like terms: 0 + 20 = 20
-1l = 20

Divide each side by '-1'.
l = -20

Simplifying
l = -20
Subproblem 2
Set the factor '(15 + -1l)' equal to zero and attempt to solve:

Simplifying
15 + -1l = 0

Solving
15 + -1l = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1l = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1l = 0 + -15
-1l = 0 + -15

Combine like terms: 0 + -15 = -15
-1l = -15

Divide each side by '-1'.
l = 15

Simplifying
l = 15
Solution
l = {-20, 15}