k^2-2kp+p^2=0

Solution for k^2-2kp+p^2=0 equation:

Simplifying
k2 + -2kp + p2 = 0

Reorder the terms:
-2kp + k2 + p2 = 0

Solving
-2kp + k2 + p2 = 0

Solving for variable 'k'.

Factor a trinomial.
(k + -1p)(k + -1p) = 0

Subproblem 1
Set the factor '(k + -1p)' equal to zero and attempt to solve:

Simplifying
k + -1p = 0

Solving
k + -1p = 0

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

Add 'p' to each side of the equation.
k + -1p + p = 0 + p

Combine like terms: -1p + p = 0
k + 0 = 0 + p
k = 0 + p
Remove the zero:
k = p

Simplifying
k = p
Subproblem 2
Set the factor '(k + -1p)' equal to zero and attempt to solve:

Simplifying
k + -1p = 0

Solving
k + -1p = 0

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

Add 'p' to each side of the equation.
k + -1p + p = 0 + p

Combine like terms: -1p + p = 0
k + 0 = 0 + p
k = 0 + p
Remove the zero:
k = p

Simplifying
k = p
Solution
k = {p, p}