y^2+30y+68=-76

Solution for y^2+30y+68=-76 equation:

Simplifying
y2 + 30y + 68 = -76

Reorder the terms:
68 + 30y + y2 = -76

Solving
68 + 30y + y2 = -76

Solving for variable 'y'.

Reorder the terms:
68 + 76 + 30y + y2 = -76 + 76

Combine like terms: 68 + 76 = 144
144 + 30y + y2 = -76 + 76

Combine like terms: -76 + 76 = 0
144 + 30y + y2 = 0

Factor a trinomial.
(24 + y)(6 + y) = 0

Subproblem 1
Set the factor '(24 + y)' equal to zero and attempt to solve:

Simplifying
24 + y = 0

Solving
24 + y = 0

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

Add '-24' to each side of the equation.
24 + -24 + y = 0 + -24

Combine like terms: 24 + -24 = 0
0 + y = 0 + -24
y = 0 + -24

Combine like terms: 0 + -24 = -24
y = -24

Simplifying
y = -24
Subproblem 2
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
Solution
y = {-24, -6}