l^2-6l-40=0

Solution for l^2-6l-40=0 equation:

Simplifying
l2 + -6l + -40 = 0

Reorder the terms:
-40 + -6l + l2 = 0

Solving
-40 + -6l + l2 = 0

Solving for variable 'l'.

Factor a trinomial.
(-4 + -1l)(10 + -1l) = 0

Subproblem 1
Set the factor '(-4 + -1l)' equal to zero and attempt to solve:

Simplifying
-4 + -1l = 0

Solving
-4 + -1l = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1l = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1l = 0 + 4
-1l = 0 + 4

Combine like terms: 0 + 4 = 4
-1l = 4

Divide each side by '-1'.
l = -4

Simplifying
l = -4
Subproblem 2
Set the factor '(10 + -1l)' equal to zero and attempt to solve:

Simplifying
10 + -1l = 0

Solving
10 + -1l = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1l = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1l = 0 + -10
-1l = 0 + -10

Combine like terms: 0 + -10 = -10
-1l = -10

Divide each side by '-1'.
l = 10

Simplifying
l = 10
Solution
l = {-4, 10}