l^2+5l-266=0

Solution for l^2+5l-266=0 equation:

Simplifying
l2 + 5l + -266 = 0

Reorder the terms:
-266 + 5l + l2 = 0

Solving
-266 + 5l + l2 = 0

Solving for variable 'l'.

Factor a trinomial.
(-19 + -1l)(14 + -1l) = 0

Subproblem 1
Set the factor '(-19 + -1l)' equal to zero and attempt to solve:

Simplifying
-19 + -1l = 0

Solving
-19 + -1l = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1l = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1l = 0 + 19
-1l = 0 + 19

Combine like terms: 0 + 19 = 19
-1l = 19

Divide each side by '-1'.
l = -19

Simplifying
l = -19
Subproblem 2
Set the factor '(14 + -1l)' equal to zero and attempt to solve:

Simplifying
14 + -1l = 0

Solving
14 + -1l = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1l = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1l = 0 + -14
-1l = 0 + -14

Combine like terms: 0 + -14 = -14
-1l = -14

Divide each side by '-1'.
l = 14

Simplifying
l = 14
Solution
l = {-19, 14}