Y^2+11Y+30=0

Solution for Y^2+11Y+30=0 equation:

Simplifying
Y2 + 11Y + 30 = 0

Reorder the terms:
30 + 11Y + Y2 = 0

Solving
30 + 11Y + Y2 = 0

Solving for variable 'Y'.

Factor a trinomial.
(6 + Y)(5 + Y) = 0

Subproblem 1
Set the factor '(6 + Y)' equal to zero and attempt to solve:

Simplifying
6 + Y = 0

Solving
6 + Y = 0

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

Add '-6' to each side of the equation.
6 + -6 + Y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + Y = 0 + -6
Y = 0 + -6

Combine like terms: 0 + -6 = -6
Y = -6

Simplifying
Y = -6
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 = {-6, -5}