(s*s)+2*s*3t+(3t*3t)=

Solution for (s*s)+2*s*3t+(3t*3t)= equation:

Simplifying
(s * s) + 2s * 3t + (3t * 3t) = 0

Multiply s * s
(s2) + 2s * 3t + (3t * 3t) = 0
s2 + 2s * 3t + (3t * 3t) = 0

Reorder the terms for easier multiplication:
s2 + 2 * 3s * t + (3t * 3t) = 0

Multiply 2 * 3
s2 + 6s * t + (3t * 3t) = 0

Multiply s * t
s2 + 6st + (3t * 3t) = 0

Reorder the terms for easier multiplication:
s2 + 6st + (3 * 3t * t) = 0

Multiply 3 * 3
s2 + 6st + (9t * t) = 0

Multiply t * t
s2 + 6st + (9t2) = 0

Reorder the terms:
6st + s2 + (9t2) = 0

Solving
6st + s2 + (9t2) = 0

Solving for variable 's'.

Factor a trinomial.
(s + 3t)(s + 3t) = 0

Subproblem 1
Set the factor '(s + 3t)' equal to zero and attempt to solve:

Simplifying
s + 3t = 0

Solving
s + 3t = 0

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

Add '-3t' to each side of the equation.
s + 3t + -3t = 0 + -3t

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

Simplifying
s = -3t
Subproblem 2
Set the factor '(s + 3t)' equal to zero and attempt to solve:

Simplifying
s + 3t = 0

Solving
s + 3t = 0

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

Add '-3t' to each side of the equation.
s + 3t + -3t = 0 + -3t

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

Simplifying
s = -3t
Solution
s = {-3t, -3t}