l^2-45l-9000=0

Solution for l^2-45l-9000=0 equation:

Simplifying
l2 + -45l + -9000 = 0

Reorder the terms:
-9000 + -45l + l2 = 0

Solving
-9000 + -45l + l2 = 0

Solving for variable 'l'.

Factor a trinomial.
(-75 + -1l)(120 + -1l) = 0

Subproblem 1
Set the factor '(-75 + -1l)' equal to zero and attempt to solve:

Simplifying
-75 + -1l = 0

Solving
-75 + -1l = 0

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

Add '75' to each side of the equation.
-75 + 75 + -1l = 0 + 75

Combine like terms: -75 + 75 = 0
0 + -1l = 0 + 75
-1l = 0 + 75

Combine like terms: 0 + 75 = 75
-1l = 75

Divide each side by '-1'.
l = -75

Simplifying
l = -75
Subproblem 2
Set the factor '(120 + -1l)' equal to zero and attempt to solve:

Simplifying
120 + -1l = 0

Solving
120 + -1l = 0

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

Add '-120' to each side of the equation.
120 + -120 + -1l = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -1l = 0 + -120
-1l = 0 + -120

Combine like terms: 0 + -120 = -120
-1l = -120

Divide each side by '-1'.
l = 120

Simplifying
l = 120
Solution
l = {-75, 120}