t^4-w^4=0

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

Simplifying
t4 + -1w4 = 0

Solving
t4 + -1w4 = 0

Solving for variable 't'.

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

Add 'w4' to each side of the equation.
t4 + -1w4 + w4 = 0 + w4

Combine like terms: -1w4 + w4 = 0
t4 + 0 = 0 + w4
t4 = 0 + w4
Remove the zero:
t4 = w4

Simplifying
t4 = w4

Combine like terms: w4 + -1w4 = 0
t4 + -1w4 = 0

Factor a difference between two squares.
(t2 + w2)(t2 + -1w2) = 0

Factor a difference between two squares.
(t2 + w2)((t + w)(t + -1w)) = 0

Subproblem 1
Set the factor '(t2 + w2)' equal to zero and attempt to solve:

Simplifying
t2 + w2 = 0

Solving
t2 + w2 = 0

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

Add '-1w2' to each side of the equation.
t2 + w2 + -1w2 = 0 + -1w2

Combine like terms: w2 + -1w2 = 0
t2 + 0 = 0 + -1w2
t2 = 0 + -1w2
Remove the zero:
t2 = -1w2

Simplifying
t2 = -1w2

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 + w)' equal to zero and attempt to solve:

Simplifying
t + w = 0

Solving
t + w = 0

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

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

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

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

Simplifying
t + -1w = 0

Solving
t + -1w = 0

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

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

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

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