l^2-4l-12=0

Solution for l^2-4l-12=0 equation:

Simplifying
l2 + -4l + -12 = 0

Reorder the terms:
-12 + -4l + l2 = 0

Solving
-12 + -4l + l2 = 0

Solving for variable 'l'.

Factor a trinomial.
(-2 + -1l)(6 + -1l) = 0

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

Simplifying
-2 + -1l = 0

Solving
-2 + -1l = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1l = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1l = 0 + 2
-1l = 0 + 2

Combine like terms: 0 + 2 = 2
-1l = 2

Divide each side by '-1'.
l = -2

Simplifying
l = -2
Subproblem 2
Set the factor '(6 + -1l)' equal to zero and attempt to solve:

Simplifying
6 + -1l = 0

Solving
6 + -1l = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1l = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1l = 0 + -6
-1l = 0 + -6

Combine like terms: 0 + -6 = -6
-1l = -6

Divide each side by '-1'.
l = 6

Simplifying
l = 6
Solution
l = {-2, 6}