64x^4-y^4=0

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


Simplifying
64x4 + -1y4 = 0

Solving
64x4 + -1y4 = 0

Solving for variable 'x'.

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

Add 'y4' to each side of the equation.
64x4 + -1y4 + y4 = 0 + y4

Combine like terms: -1y4 + y4 = 0
64x4 + 0 = 0 + y4
64x4 = 0 + y4
Remove the zero:
64x4 = y4

Divide each side by '64'.
x4 = 0.015625y4

Simplifying
x4 = 0.015625y4

Combine like terms: 0.015625y4 + -0.015625y4 = 0.000000
x4 + -0.015625y4 = 0.000000

Factor a difference between two squares.
(x2 + 0.125y2)(x2 + -0.125y2) = 0.000000


Subproblem 1
Set the factor '(x2 + 0.125y2)' equal to zero and attempt to solve:

Simplifying
x2 + 0.125y2 = 0

Solving
x2 + 0.125y2 = 0

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

Add '-0.125y2' to each side of the equation.
x2 + 0.125y2 + -0.125y2 = 0 + -0.125y2

Combine like terms: 0.125y2 + -0.125y2 = 0.000
x2 + 0.000 = 0 + -0.125y2
x2 = 0 + -0.125y2
Remove the zero:
x2 = -0.125y2

Simplifying
x2 = -0.125y2

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 + -0.125y2)' equal to zero and attempt to solve:

Simplifying
x2 + -0.125y2 = 0

Solving
x2 + -0.125y2 = 0

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

Add '0.125y2' to each side of the equation.
x2 + -0.125y2 + 0.125y2 = 0 + 0.125y2

Combine like terms: -0.125y2 + 0.125y2 = 0.000
x2 + 0.000 = 0 + 0.125y2
x2 = 0 + 0.125y2
Remove the zero:
x2 = 0.125y2

Simplifying
x2 = 0.125y2

Take the square root of each side:
x = {-0.353553391y, 0.353553391y}
Solution
x = {-0.353553391y, 0.353553391y}

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