16y^4-25x^4=0

Solution for 16y^4-25x^4=0 equation:

Simplifying
16y4 + -25x4 = 0

Reorder the terms:
-25x4 + 16y4 = 0

Solving
-25x4 + 16y4 = 0

Solving for variable 'x'.

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

Add '-16y4' to each side of the equation.
-25x4 + 16y4 + -16y4 = 0 + -16y4

Combine like terms: 16y4 + -16y4 = 0
-25x4 + 0 = 0 + -16y4
-25x4 = 0 + -16y4
Remove the zero:
-25x4 = -16y4

Divide each side by '-25'.
x4 = 0.64y4

Simplifying
x4 = 0.64y4

Combine like terms: 0.64y4 + -0.64y4 = 0.00
x4 + -0.64y4 = 0.00

Factor a difference between two squares.
(x2 + 0.8y2)(x2 + -0.8y2) = 0.00

Subproblem 1
Set the factor '(x2 + 0.8y2)' equal to zero and attempt to solve:

Simplifying
x2 + 0.8y2 = 0

Solving
x2 + 0.8y2 = 0

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

Add '-0.8y2' to each side of the equation.
x2 + 0.8y2 + -0.8y2 = 0 + -0.8y2

Combine like terms: 0.8y2 + -0.8y2 = 0.0
x2 + 0.0 = 0 + -0.8y2
x2 = 0 + -0.8y2
Remove the zero:
x2 = -0.8y2

Simplifying
x2 = -0.8y2

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 + -0.8y2)' equal to zero and attempt to solve:

Simplifying
x2 + -0.8y2 = 0

Solving
x2 + -0.8y2 = 0

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

Add '0.8y2' to each side of the equation.
x2 + -0.8y2 + 0.8y2 = 0 + 0.8y2

Combine like terms: -0.8y2 + 0.8y2 = 0.0
x2 + 0.0 = 0 + 0.8y2
x2 = 0 + 0.8y2
Remove the zero:
x2 = 0.8y2

Simplifying
x2 = 0.8y2

Take the square root of each side:
x = {-0.894427191y, 0.894427191y}
Solution
x = {-0.894427191y, 0.894427191y}