y^2-26y+105=

Solution for y^2-26y+105= 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.
(5 + -1y)(21 + -1y) = 0

Subproblem 1
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Subproblem 2
Set the factor '(21 + -1y)' equal to zero and attempt to solve:

Simplifying
21 + -1y = 0

Solving
21 + -1y = 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 + -1y = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1y = 0 + -21
-1y = 0 + -21

Combine like terms: 0 + -21 = -21
-1y = -21

Divide each side by '-1'.
y = 21

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