y^2+19y+34=

Solution for y^2+19y+34= equation:

Simplifying
y2 + 19y + 34 = 0

Reorder the terms:
34 + 19y + y2 = 0

Solving
34 + 19y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(17 + y)(2 + y) = 0

Subproblem 1
Set the factor '(17 + y)' equal to zero and attempt to solve:

Simplifying
17 + y = 0

Solving
17 + y = 0

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

Add '-17' to each side of the equation.
17 + -17 + y = 0 + -17

Combine like terms: 17 + -17 = 0
0 + y = 0 + -17
y = 0 + -17

Combine like terms: 0 + -17 = -17
y = -17

Simplifying
y = -17
Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Solution
y = {-17, -2}