192=(4)(l)(l+2)

Solution for 192=(4)(l)(l+2) equation:

Simplifying
192 = (4)(l)(l + 2)

Reorder the terms:
192 = 4l(2 + l)
192 = (2 * 4l + l * 4l)
192 = (8l + 4l2)

Solving
192 = 8l + 4l2

Solving for variable 'l'.

Reorder the terms:
192 + -8l + -4l2 = 8l + -8l + 4l2 + -4l2

Combine like terms: 8l + -8l = 0
192 + -8l + -4l2 = 0 + 4l2 + -4l2
192 + -8l + -4l2 = 4l2 + -4l2

Combine like terms: 4l2 + -4l2 = 0
192 + -8l + -4l2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(48 + -2l + -1l2) = 0

Factor a trinomial.
4((6 + -1l)(8 + l)) = 0

Ignore the factor 4.
Subproblem 1
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
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 = {6, -8}