S^4-t^4=0

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

Simplifying
S4 + -1t4 = 0

Solving
S4 + -1t4 = 0

Solving for variable 'S'.

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

Add 't4' to each side of the equation.
S4 + -1t4 + t4 = 0 + t4

Combine like terms: -1t4 + t4 = 0
S4 + 0 = 0 + t4
S4 = 0 + t4
Remove the zero:
S4 = t4

Simplifying
S4 = t4

Combine like terms: t4 + -1t4 = 0
S4 + -1t4 = 0

Factor a difference between two squares.
(S2 + t2)(S2 + -1t2) = 0

Factor a difference between two squares.
(S2 + t2)((S + t)(S + -1t)) = 0

Subproblem 1
Set the factor '(S2 + t2)' equal to zero and attempt to solve:

Simplifying
S2 + t2 = 0

Solving
S2 + t2 = 0

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

Add '-1t2' to each side of the equation.
S2 + t2 + -1t2 = 0 + -1t2

Combine like terms: t2 + -1t2 = 0
S2 + 0 = 0 + -1t2
S2 = 0 + -1t2
Remove the zero:
S2 = -1t2

Simplifying
S2 = -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 '(S + t)' equal to zero and attempt to solve:

Simplifying
S + t = 0

Solving
S + t = 0

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

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

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

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

Simplifying
S + -1t = 0

Solving
S + -1t = 0

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

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

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

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