t^4-p^4=

Solution for t^4-p^4= equation:

Simplifying
t4 + -1p4 = 0

Reorder the terms:
-1p4 + t4 = 0

Solving
-1p4 + t4 = 0

Solving for variable 'p'.

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

Add '-1t4' to each side of the equation.
-1p4 + t4 + -1t4 = 0 + -1t4

Combine like terms: t4 + -1t4 = 0
-1p4 + 0 = 0 + -1t4
-1p4 = 0 + -1t4
Remove the zero:
-1p4 = -1t4

Divide each side by '-1'.
p4 = t4

Simplifying
p4 = t4

Combine like terms: t4 + -1t4 = 0
p4 + -1t4 = 0

Factor a difference between two squares.
(p2 + t2)(p2 + -1t2) = 0

Factor a difference between two squares.
(p2 + t2)((p + t)(p + -1t)) = 0

Subproblem 1
Set the factor '(p2 + t2)' equal to zero and attempt to solve:

Simplifying
p2 + t2 = 0

Solving
p2 + t2 = 0

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

Add '-1t2' to each side of the equation.
p2 + t2 + -1t2 = 0 + -1t2

Combine like terms: t2 + -1t2 = 0
p2 + 0 = 0 + -1t2
p2 = 0 + -1t2
Remove the zero:
p2 = -1t2

Simplifying
p2 = -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 '(p + t)' equal to zero and attempt to solve:

Simplifying
p + t = 0

Solving
p + t = 0

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

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

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

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

Simplifying
p + -1t = 0

Solving
p + -1t = 0

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

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

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

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