2y^2+18y=-36

Solution for 2y^2+18y=-36 equation:

Simplifying
2y2 + 18y = -36

Reorder the terms:
18y + 2y2 = -36

Solving
18y + 2y2 = -36

Solving for variable 'y'.

Reorder the terms:
36 + 18y + 2y2 = -36 + 36

Combine like terms: -36 + 36 = 0
36 + 18y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + 9y + y2) = 0

Factor a trinomial.
2((6 + y)(3 + y)) = 0

Ignore the factor 2.
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 '(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 = {-6, -3}