156=n^2+n

Solution for 156=n^2+n equation:

Simplifying
156 = n2 + n

Reorder the terms:
156 = n + n2

Solving
156 = n + n2

Solving for variable 'n'.

Reorder the terms:
156 + -1n + -1n2 = n + -1n + n2 + -1n2

Combine like terms: n + -1n = 0
156 + -1n + -1n2 = 0 + n2 + -1n2
156 + -1n + -1n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
156 + -1n + -1n2 = 0

Factor a trinomial.
(12 + -1n)(13 + n) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(13 + n)' equal to zero and attempt to solve:

Simplifying
13 + n = 0

Solving
13 + n = 0

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

Add '-13' to each side of the equation.
13 + -13 + n = 0 + -13

Combine like terms: 13 + -13 = 0
0 + n = 0 + -13
n = 0 + -13

Combine like terms: 0 + -13 = -13
n = -13

Simplifying
n = -13
Solution
n = {12, -13}