s^2-4st+4t^2=0

Solution for s^2-4st+4t^2=0 equation:

Simplifying
s2 + -4st + 4t2 = 0

Reorder the terms:
-4st + s2 + 4t2 = 0

Solving
-4st + s2 + 4t2 = 0

Solving for variable 's'.

Factor a trinomial.
(s + -2t)(s + -2t) = 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 + -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
Solution
s = {2t, 2t}