64x^4-81y^4=0

Solution for 64x^4-81y^4=0 equation:

Simplifying
64x4 + -81y4 = 0

Solving
64x4 + -81y4 = 0

Solving for variable 'x'.

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

Add '81y4' to each side of the equation.
64x4 + -81y4 + 81y4 = 0 + 81y4

Combine like terms: -81y4 + 81y4 = 0
64x4 + 0 = 0 + 81y4
64x4 = 0 + 81y4
Remove the zero:
64x4 = 81y4

Divide each side by '64'.
x4 = 1.265625y4

Simplifying
x4 = 1.265625y4

Combine like terms: 1.265625y4 + -1.265625y4 = 0.000000
x4 + -1.265625y4 = 0.000000

Factor a difference between two squares.
(x2 + 1.125y2)(x2 + -1.125y2) = 0.000000

Subproblem 1
Set the factor '(x2 + 1.125y2)' equal to zero and attempt to solve:

Simplifying
x2 + 1.125y2 = 0

Solving
x2 + 1.125y2 = 0

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

Add '-1.125y2' to each side of the equation.
x2 + 1.125y2 + -1.125y2 = 0 + -1.125y2

Combine like terms: 1.125y2 + -1.125y2 = 0.000
x2 + 0.000 = 0 + -1.125y2
x2 = 0 + -1.125y2
Remove the zero:
x2 = -1.125y2

Simplifying
x2 = -1.125y2

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 + -1.125y2)' equal to zero and attempt to solve:

Simplifying
x2 + -1.125y2 = 0

Solving
x2 + -1.125y2 = 0

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

Add '1.125y2' to each side of the equation.
x2 + -1.125y2 + 1.125y2 = 0 + 1.125y2

Combine like terms: -1.125y2 + 1.125y2 = 0.000
x2 + 0.000 = 0 + 1.125y2
x2 = 0 + 1.125y2
Remove the zero:
x2 = 1.125y2

Simplifying
x2 = 1.125y2

Take the square root of each side:
x = {-1.060660172y, 1.060660172y}
Solution
x = {-1.060660172y, 1.060660172y}