L(L-2)=168

Solution for L(L-2)=168 equation:

Simplifying
L(L + -2) = 168

Reorder the terms:
L(-2 + L) = 168
(-2 * L + L * L) = 168
(-2L + L2) = 168

Solving
-2L + L2 = 168

Solving for variable 'L'.

Reorder the terms:
-168 + -2L + L2 = 168 + -168

Combine like terms: 168 + -168 = 0
-168 + -2L + L2 = 0

Factor a trinomial.
(-12 + -1L)(14 + -1L) = 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 '(14 + -1L)' equal to zero and attempt to solve:

Simplifying
14 + -1L = 0

Solving
14 + -1L = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1L = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1L = 0 + -14
-1L = 0 + -14

Combine like terms: 0 + -14 = -14
-1L = -14

Divide each side by '-1'.
L = 14

Simplifying
L = 14
Solution
L = {-12, 14}