8rt^4-8rh^4=

Solution for 8rt^4-8rh^4= equation:

Simplifying
8rt4 + -8rh4 = 0

Reorder the terms:
-8h4r + 8rt4 = 0

Solving
-8h4r + 8rt4 = 0

Solving for variable 'h'.

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

Add '-8rt4' to each side of the equation.
-8h4r + 8rt4 + -8rt4 = 0 + -8rt4

Combine like terms: 8rt4 + -8rt4 = 0
-8h4r + 0 = 0 + -8rt4
-8h4r = 0 + -8rt4
Remove the zero:
-8h4r = -8rt4

Divide each side by '-8r'.
h4 = t4

Simplifying
h4 = t4

Combine like terms: t4 + -1t4 = 0
h4 + -1t4 = 0

Factor a difference between two squares.
(h2 + t2)(h2 + -1t2) = 0

Factor a difference between two squares.
(h2 + t2)((h + t)(h + -1t)) = 0

Subproblem 1
Set the factor '(h2 + t2)' equal to zero and attempt to solve:

Simplifying
h2 + t2 = 0

Solving
h2 + t2 = 0

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

Add '-1t2' to each side of the equation.
h2 + t2 + -1t2 = 0 + -1t2

Combine like terms: t2 + -1t2 = 0
h2 + 0 = 0 + -1t2
h2 = 0 + -1t2
Remove the zero:
h2 = -1t2

Simplifying
h2 = -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 '(h + t)' equal to zero and attempt to solve:

Simplifying
h + t = 0

Solving
h + t = 0

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

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

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

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

Simplifying
h + -1t = 0

Solving
h + -1t = 0

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

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

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

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