n^2-26n+88=

Solution for n^2-26n+88= equation:

Simplifying
n2 + -26n + 88 = 0

Reorder the terms:
88 + -26n + n2 = 0

Solving
88 + -26n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(4 + -1n)(22 + -1n) = 0

Subproblem 1
Set the factor '(4 + -1n)' equal to zero and attempt to solve:

Simplifying
4 + -1n = 0

Solving
4 + -1n = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = 0 + -4
-1n = 0 + -4

Combine like terms: 0 + -4 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4
Subproblem 2
Set the factor '(22 + -1n)' equal to zero and attempt to solve:

Simplifying
22 + -1n = 0

Solving
22 + -1n = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1n = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1n = 0 + -22
-1n = 0 + -22

Combine like terms: 0 + -22 = -22
-1n = -22

Divide each side by '-1'.
n = 22

Simplifying
n = 22
Solution
n = {4, 22}