y^2+26y+25=0

Solution for y^2+26y+25=0 equation:

Simplifying
y2 + 26y + 25 = 0

Reorder the terms:
25 + 26y + y2 = 0

Solving
25 + 26y + y2 = 0

Solving for variable 'y'.

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

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

Simplifying
25 + y = 0

Solving
25 + y = 0

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

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

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

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

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

Simplifying
1 + y = 0

Solving
1 + y = 0

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

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

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

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

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