l^2-13l-198=0

Solution for l^2-13l-198=0 equation:

Simplifying
l2 + -13l + -198 = 0

Reorder the terms:
-198 + -13l + l2 = 0

Solving
-198 + -13l + l2 = 0

Solving for variable 'l'.

Factor a trinomial.
(-9 + -1l)(22 + -1l) = 0

Subproblem 1
Set the factor '(-9 + -1l)' equal to zero and attempt to solve:

Simplifying
-9 + -1l = 0

Solving
-9 + -1l = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1l = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1l = 0 + 9
-1l = 0 + 9

Combine like terms: 0 + 9 = 9
-1l = 9

Divide each side by '-1'.
l = -9

Simplifying
l = -9
Subproblem 2
Set the factor '(22 + -1l)' equal to zero and attempt to solve:

Simplifying
22 + -1l = 0

Solving
22 + -1l = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1l = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1l = 0 + -22
-1l = 0 + -22

Combine like terms: 0 + -22 = -22
-1l = -22

Divide each side by '-1'.
l = 22

Simplifying
l = 22
Solution
l = {-9, 22}