r^2-2rt+t^2=

Solution for r^2-2rt+t^2= equation:

Simplifying
r2 + -2rt + t2 = 0

Reorder the terms:
-2rt + r2 + t2 = 0

Solving
-2rt + r2 + t2 = 0

Solving for variable 'r'.

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

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

Simplifying
r + -1t = 0

Solving
r + -1t = 0

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

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

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

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

Simplifying
r + -1t = 0

Solving
r + -1t = 0

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

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

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

Simplifying
r = t
Solution
r = {t, t}