s^2+20st+36t^2=

Solution for s^2+20st+36t^2= equation:

Simplifying
s2 + 20st + 36t2 = 0

Reorder the terms:
20st + s2 + 36t2 = 0

Solving
20st + s2 + 36t2 = 0

Solving for variable 's'.

Factor a trinomial.
(s + 2t)(s + 18t) = 0

Subproblem 1
Set the factor '(s + 2t)' equal to zero and attempt to solve:

Simplifying
s + 2t = 0

Solving
s + 2t = 0

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

Add '-2t' to each side of the equation.
s + 2t + -2t = 0 + -2t

Combine like terms: 2t + -2t = 0
s + 0 = 0 + -2t
s = 0 + -2t
Remove the zero:
s = -2t

Simplifying
s = -2t
Subproblem 2
Set the factor '(s + 18t)' equal to zero and attempt to solve:

Simplifying
s + 18t = 0

Solving
s + 18t = 0

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

Add '-18t' to each side of the equation.
s + 18t + -18t = 0 + -18t

Combine like terms: 18t + -18t = 0
s + 0 = 0 + -18t
s = 0 + -18t
Remove the zero:
s = -18t

Simplifying
s = -18t
Solution
s = {-2t, -18t}