y^2+30y+216=0

Solution for y^2+30y+216=0 equation:

Simplifying
y2 + 30y + 216 = 0

Reorder the terms:
216 + 30y + y2 = 0

Solving
216 + 30y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(18 + y)(12 + y) = 0

Subproblem 1
Set the factor '(18 + y)' equal to zero and attempt to solve:

Simplifying
18 + y = 0

Solving
18 + y = 0

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

Add '-18' to each side of the equation.
18 + -18 + y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + y = 0 + -18
y = 0 + -18

Combine like terms: 0 + -18 = -18
y = -18

Simplifying
y = -18
Subproblem 2
Set the factor '(12 + y)' equal to zero and attempt to solve:

Simplifying
12 + y = 0

Solving
12 + y = 0

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

Add '-12' to each side of the equation.
12 + -12 + y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + y = 0 + -12
y = 0 + -12

Combine like terms: 0 + -12 = -12
y = -12

Simplifying
y = -12
Solution
y = {-18, -12}