Y^2+21Y+110=0

Solution for Y^2+21Y+110=0 equation:

Simplifying
Y2 + 21Y + 110 = 0

Reorder the terms:
110 + 21Y + Y2 = 0

Solving
110 + 21Y + Y2 = 0

Solving for variable 'Y'.

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

Subproblem 1
Set the factor '(11 + Y)' equal to zero and attempt to solve:

Simplifying
11 + Y = 0

Solving
11 + Y = 0

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

Add '-11' to each side of the equation.
11 + -11 + Y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + Y = 0 + -11
Y = 0 + -11

Combine like terms: 0 + -11 = -11
Y = -11

Simplifying
Y = -11
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 = {-11, -10}