2y^2+16y=-30

Solution for 2y^2+16y=-30 equation:

Simplifying
2y2 + 16y = -30

Reorder the terms:
16y + 2y2 = -30

Solving
16y + 2y2 = -30

Solving for variable 'y'.

Reorder the terms:
30 + 16y + 2y2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + 16y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 8y + y2) = 0

Factor a trinomial.
2((5 + y)(3 + y)) = 0

Ignore the factor 2.
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 '(3 + y)' equal to zero and attempt to solve:

Simplifying
3 + y = 0

Solving
3 + y = 0

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

Add '-3' to each side of the equation.
3 + -3 + y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + y = 0 + -3
y = 0 + -3

Combine like terms: 0 + -3 = -3
y = -3

Simplifying
y = -3
Solution
y = {-5, -3}