n(n+2)=168

Solution for n(n+2)=168 equation:

Simplifying
n(n + 2) = 168

Reorder the terms:
n(2 + n) = 168
(2 * n + n * n) = 168
(2n + n2) = 168

Solving
2n + n2 = 168

Solving for variable 'n'.

Reorder the terms:
-168 + 2n + n2 = 168 + -168

Combine like terms: 168 + -168 = 0
-168 + 2n + n2 = 0

Factor a trinomial.
(-14 + -1n)(12 + -1n) = 0

Subproblem 1
Set the factor '(-14 + -1n)' equal to zero and attempt to solve:

Simplifying
-14 + -1n = 0

Solving
-14 + -1n = 0

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

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

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

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

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

Simplifying
n = -14
Subproblem 2
Set the factor '(12 + -1n)' equal to zero and attempt to solve:

Simplifying
12 + -1n = 0

Solving
12 + -1n = 0

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

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

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

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

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

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