96=l(l-4)

Solution for 96=l(l-4) equation:

Simplifying
96 = l(l + -4)

Reorder the terms:
96 = l(-4 + l)
96 = (-4 * l + l * l)
96 = (-4l + l2)

Solving
96 = -4l + l2

Solving for variable 'l'.

Reorder the terms:
96 + 4l + -1l2 = -4l + 4l + l2 + -1l2

Combine like terms: -4l + 4l = 0
96 + 4l + -1l2 = 0 + l2 + -1l2
96 + 4l + -1l2 = l2 + -1l2

Combine like terms: l2 + -1l2 = 0
96 + 4l + -1l2 = 0

Factor a trinomial.
(12 + -1l)(8 + l) = 0

Subproblem 1
Set the factor '(12 + -1l)' equal to zero and attempt to solve:

Simplifying
12 + -1l = 0

Solving
12 + -1l = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1l = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1l = 0 + -12
-1l = 0 + -12

Combine like terms: 0 + -12 = -12
-1l = -12

Divide each side by '-1'.
l = 12

Simplifying
l = 12
Subproblem 2
Set the factor '(8 + l)' equal to zero and attempt to solve:

Simplifying
8 + l = 0

Solving
8 + l = 0

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

Add '-8' to each side of the equation.
8 + -8 + l = 0 + -8

Combine like terms: 8 + -8 = 0
0 + l = 0 + -8
l = 0 + -8

Combine like terms: 0 + -8 = -8
l = -8

Simplifying
l = -8
Solution
l = {12, -8}