x^4-25y^4=

Solution for x^4-25y^4= equation:

Simplifying
x4 + -25y4 = 0

Solving
x4 + -25y4 = 0

Solving for variable 'x'.

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

Add '25y4' to each side of the equation.
x4 + -25y4 + 25y4 = 0 + 25y4

Combine like terms: -25y4 + 25y4 = 0
x4 + 0 = 0 + 25y4
x4 = 0 + 25y4
Remove the zero:
x4 = 25y4

Simplifying
x4 = 25y4

Combine like terms: 25y4 + -25y4 = 0
x4 + -25y4 = 0

Factor a difference between two squares.
(x2 + 5y2)(x2 + -5y2) = 0

Subproblem 1
Set the factor '(x2 + 5y2)' equal to zero and attempt to solve:

Simplifying
x2 + 5y2 = 0

Solving
x2 + 5y2 = 0

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

Add '-5y2' to each side of the equation.
x2 + 5y2 + -5y2 = 0 + -5y2

Combine like terms: 5y2 + -5y2 = 0
x2 + 0 = 0 + -5y2
x2 = 0 + -5y2
Remove the zero:
x2 = -5y2

Simplifying
x2 = -5y2

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 '(x2 + -5y2)' equal to zero and attempt to solve:

Simplifying
x2 + -5y2 = 0

Solving
x2 + -5y2 = 0

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

Add '5y2' to each side of the equation.
x2 + -5y2 + 5y2 = 0 + 5y2

Combine like terms: -5y2 + 5y2 = 0
x2 + 0 = 0 + 5y2
x2 = 0 + 5y2
Remove the zero:
x2 = 5y2

Simplifying
x2 = 5y2

Take the square root of each side:
x = {-2.236067978y, 2.236067978y}
Solution
x = {-2.236067978y, 2.236067978y}