3l^2-12l-960=0

Solution for 3l^2-12l-960=0 equation:

Simplifying
3l2 + -12l + -960 = 0

Reorder the terms:
-960 + -12l + 3l2 = 0

Solving
-960 + -12l + 3l2 = 0

Solving for variable 'l'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-320 + -4l + l2) = 0

Factor a trinomial.
3((-16 + -1l)(20 + -1l)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-16 + -1l)' equal to zero and attempt to solve:

Simplifying
-16 + -1l = 0

Solving
-16 + -1l = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1l = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1l = 0 + 16
-1l = 0 + 16

Combine like terms: 0 + 16 = 16
-1l = 16

Divide each side by '-1'.
l = -16

Simplifying
l = -16
Subproblem 2
Set the factor '(20 + -1l)' equal to zero and attempt to solve:

Simplifying
20 + -1l = 0

Solving
20 + -1l = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1l = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1l = 0 + -20
-1l = 0 + -20

Combine like terms: 0 + -20 = -20
-1l = -20

Divide each side by '-1'.
l = 20

Simplifying
l = 20
Solution
l = {-16, 20}