t^4-x^4=0

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

Simplifying
t4 + -1x4 = 0

Solving
t4 + -1x4 = 0

Solving for variable 't'.

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

Add 'x4' to each side of the equation.
t4 + -1x4 + x4 = 0 + x4

Combine like terms: -1x4 + x4 = 0
t4 + 0 = 0 + x4
t4 = 0 + x4
Remove the zero:
t4 = x4

Simplifying
t4 = x4

Combine like terms: x4 + -1x4 = 0
t4 + -1x4 = 0

Factor a difference between two squares.
(t2 + x2)(t2 + -1x2) = 0

Factor a difference between two squares.
(t2 + x2)((t + x)(t + -1x)) = 0

Subproblem 1
Set the factor '(t2 + x2)' equal to zero and attempt to solve:

Simplifying
t2 + x2 = 0

Solving
t2 + x2 = 0

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

Add '-1x2' to each side of the equation.
t2 + x2 + -1x2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
t2 + 0 = 0 + -1x2
t2 = 0 + -1x2
Remove the zero:
t2 = -1x2

Simplifying
t2 = -1x2

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 '(t + x)' equal to zero and attempt to solve:

Simplifying
t + x = 0

Solving
t + x = 0

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

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

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

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

Simplifying
t + -1x = 0

Solving
t + -1x = 0

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

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

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

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