x^2-2xt+t^2=0

Solution for x^2-2xt+t^2=0 equation:

Simplifying
x2 + -2xt + t2 = 0

Reorder the terms:
-2tx + t2 + x2 = 0

Solving
-2tx + t2 + x2 = 0

Solving for variable 't'.

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

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

Simplifying
t + -1x = 0

Solving
t + -1x = 0

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

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

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

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

Simplifying
t + -1x = 0

Solving
t + -1x = 0

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

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

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

Simplifying
t = x
Solution
t = {x, x}