n^2+26*n+25=0

Solution for n^2+26*n+25=0 equation:

Simplifying
n2 + 26n + 25 = 0

Reorder the terms:
25 + 26n + n2 = 0

Solving
25 + 26n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(25 + n)(1 + n) = 0

Subproblem 1
Set the factor '(25 + n)' equal to zero and attempt to solve:

Simplifying
25 + n = 0

Solving
25 + n = 0

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

Add '-25' to each side of the equation.
25 + -25 + n = 0 + -25

Combine like terms: 25 + -25 = 0
0 + n = 0 + -25
n = 0 + -25

Combine like terms: 0 + -25 = -25
n = -25

Simplifying
n = -25
Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve:

Simplifying
1 + n = 0

Solving
1 + n = 0

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

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

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

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

Simplifying
n = -1
Solution
n = {-25, -1}