Y^2+36Y+260=0

Solution for Y^2+36Y+260=0 equation:

Simplifying
Y2 + 36Y + 260 = 0

Reorder the terms:
260 + 36Y + Y2 = 0

Solving
260 + 36Y + Y2 = 0

Solving for variable 'Y'.

Factor a trinomial.
(26 + Y)(10 + Y) = 0

Subproblem 1
Set the factor '(26 + Y)' equal to zero and attempt to solve:

Simplifying
26 + Y = 0

Solving
26 + Y = 0

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

Add '-26' to each side of the equation.
26 + -26 + Y = 0 + -26

Combine like terms: 26 + -26 = 0
0 + Y = 0 + -26
Y = 0 + -26

Combine like terms: 0 + -26 = -26
Y = -26

Simplifying
Y = -26
Subproblem 2
Set the factor '(10 + Y)' equal to zero and attempt to solve:

Simplifying
10 + Y = 0

Solving
10 + Y = 0

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

Add '-10' to each side of the equation.
10 + -10 + Y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + Y = 0 + -10
Y = 0 + -10

Combine like terms: 0 + -10 = -10
Y = -10

Simplifying
Y = -10
Solution
Y = {-26, -10}