y^2+26y+105=0

Solution for y^2+26y+105=0 equation:

Simplifying
y2 + 26y + 105 = 0

Reorder the terms:
105 + 26y + y2 = 0

Solving
105 + 26y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(21 + y)(5 + y) = 0

Subproblem 1
Set the factor '(21 + y)' equal to zero and attempt to solve:

Simplifying
21 + y = 0

Solving
21 + y = 0

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

Add '-21' to each side of the equation.
21 + -21 + y = 0 + -21

Combine like terms: 21 + -21 = 0
0 + y = 0 + -21
y = 0 + -21

Combine like terms: 0 + -21 = -21
y = -21

Simplifying
y = -21
Subproblem 2
Set the factor '(5 + y)' equal to zero and attempt to solve:

Simplifying
5 + y = 0

Solving
5 + y = 0

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

Add '-5' to each side of the equation.
5 + -5 + y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + y = 0 + -5
y = 0 + -5

Combine like terms: 0 + -5 = -5
y = -5

Simplifying
y = -5
Solution
y = {-21, -5}