t^4-k^4=0

Solution for t^4-k^4=0 equation:

Simplifying
t4 + -1k4 = 0

Reorder the terms:
-1k4 + t4 = 0

Solving
-1k4 + t4 = 0

Solving for variable 'k'.

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

Add '-1t4' to each side of the equation.
-1k4 + t4 + -1t4 = 0 + -1t4

Combine like terms: t4 + -1t4 = 0
-1k4 + 0 = 0 + -1t4
-1k4 = 0 + -1t4
Remove the zero:
-1k4 = -1t4

Divide each side by '-1'.
k4 = t4

Simplifying
k4 = t4

Combine like terms: t4 + -1t4 = 0
k4 + -1t4 = 0

Factor a difference between two squares.
(k2 + t2)(k2 + -1t2) = 0

Factor a difference between two squares.
(k2 + t2)((k + t)(k + -1t)) = 0

Subproblem 1
Set the factor '(k2 + t2)' equal to zero and attempt to solve:

Simplifying
k2 + t2 = 0

Solving
k2 + t2 = 0

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

Add '-1t2' to each side of the equation.
k2 + t2 + -1t2 = 0 + -1t2

Combine like terms: t2 + -1t2 = 0
k2 + 0 = 0 + -1t2
k2 = 0 + -1t2
Remove the zero:
k2 = -1t2

Simplifying
k2 = -1t2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(k + t)' equal to zero and attempt to solve:

Simplifying
k + t = 0

Solving
k + t = 0

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

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

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

Simplifying
k = -1t
Subproblem 3
Set the factor '(k + -1t)' equal to zero and attempt to solve:

Simplifying
k + -1t = 0

Solving
k + -1t = 0

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

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

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

Simplifying
k = t
Solution
k = {-1t, t}