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

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

Simplifying
s2 + -2st + t2 = 0

Reorder the terms:
-2st + s2 + t2 = 0

Solving
-2st + s2 + t2 = 0

Solving for variable 's'.

Factor a trinomial.
(s + -1t)(s + -1t) = 0

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

Simplifying
s + -1t = 0

Solving
s + -1t = 0

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

Add 't' to each side of the equation.
s + -1t + t = 0 + t

Combine like terms: -1t + t = 0
s + 0 = 0 + t
s = 0 + t
Remove the zero:
s = t

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

Simplifying
s + -1t = 0

Solving
s + -1t = 0

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

Add 't' to each side of the equation.
s + -1t + t = 0 + t

Combine like terms: -1t + t = 0
s + 0 = 0 + t
s = 0 + t
Remove the zero:
s = t

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