tk=k^2

Solution for tk=k^2 equation:

Simplifying
tk = k2

Solving
kt = k2

Solving for variable 'k'.

Combine like terms: k2 + -1k2 = 0
kt + -1k2 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(t + -1k) = 0

Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(t + -1k)' equal to zero and attempt to solve:

Simplifying
t + -1k = 0

Reorder the terms:
-1k + t = 0

Solving
-1k + t = 0

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

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

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

Divide each side by '-1'.
k = t

Simplifying
k = t
Solution
k = {0, t}