5y^2+47y+110=0

Solution for 5y^2+47y+110=0 equation:

Simplifying
5y2 + 47y + 110 = 0

Reorder the terms:
110 + 47y + 5y2 = 0

Solving
110 + 47y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + y)(22 + 5y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(22 + 5y)' equal to zero and attempt to solve:

Simplifying
22 + 5y = 0

Solving
22 + 5y = 0

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

Add '-22' to each side of the equation.
22 + -22 + 5y = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 5y = 0 + -22
5y = 0 + -22

Combine like terms: 0 + -22 = -22
5y = -22

Divide each side by '5'.
y = -4.4

Simplifying
y = -4.4
Solution
y = {-5, -4.4}