s^2+12sy+27y^2=

Solution for s^2+12sy+27y^2= equation:

Simplifying
s2 + 12sy + 27y2 = 0

Reorder the terms:
12sy + s2 + 27y2 = 0

Solving
12sy + s2 + 27y2 = 0

Solving for variable 's'.

Factor a trinomial.
(s + 3y)(s + 9y) = 0

Subproblem 1
Set the factor '(s + 3y)' equal to zero and attempt to solve:

Simplifying
s + 3y = 0

Solving
s + 3y = 0

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

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

Combine like terms: 3y + -3y = 0
s + 0 = 0 + -3y
s = 0 + -3y
Remove the zero:
s = -3y

Simplifying
s = -3y
Subproblem 2
Set the factor '(s + 9y)' equal to zero and attempt to solve:

Simplifying
s + 9y = 0

Solving
s + 9y = 0

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

Add '-9y' to each side of the equation.
s + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
s + 0 = 0 + -9y
s = 0 + -9y
Remove the zero:
s = -9y

Simplifying
s = -9y
Solution
s = {-3y, -9y}