16x^4-256y^8=0

Solution for 16x^4-256y^8=0 equation:

Simplifying
16x4 + -256y8 = 0

Solving
16x4 + -256y8 = 0

Solving for variable 'x'.

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

Add '256y8' to each side of the equation.
16x4 + -256y8 + 256y8 = 0 + 256y8

Combine like terms: -256y8 + 256y8 = 0
16x4 + 0 = 0 + 256y8
16x4 = 0 + 256y8
Remove the zero:
16x4 = 256y8

Divide each side by '16'.
x4 = 16y8

Simplifying
x4 = 16y8

Combine like terms: 16y8 + -16y8 = 0
x4 + -16y8 = 0

Factor a difference between two squares.
(x2 + 4y4)(x2 + -4y4) = 0

Factor a difference between two squares.
(x2 + 4y4)((x + 2y2)(x + -2y2)) = 0

Subproblem 1
Set the factor '(x2 + 4y4)' equal to zero and attempt to solve:

Simplifying
x2 + 4y4 = 0

Solving
x2 + 4y4 = 0

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

Add '-4y4' to each side of the equation.
x2 + 4y4 + -4y4 = 0 + -4y4

Combine like terms: 4y4 + -4y4 = 0
x2 + 0 = 0 + -4y4
x2 = 0 + -4y4
Remove the zero:
x2 = -4y4

Simplifying
x2 = -4y4

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 '(x + 2y2)' equal to zero and attempt to solve:

Simplifying
x + 2y2 = 0

Solving
x + 2y2 = 0

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

Add '-2y2' to each side of the equation.
x + 2y2 + -2y2 = 0 + -2y2

Combine like terms: 2y2 + -2y2 = 0
x + 0 = 0 + -2y2
x = 0 + -2y2
Remove the zero:
x = -2y2

Simplifying
x = -2y2
Subproblem 3
Set the factor '(x + -2y2)' equal to zero and attempt to solve:

Simplifying
x + -2y2 = 0

Solving
x + -2y2 = 0

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

Add '2y2' to each side of the equation.
x + -2y2 + 2y2 = 0 + 2y2

Combine like terms: -2y2 + 2y2 = 0
x + 0 = 0 + 2y2
x = 0 + 2y2
Remove the zero:
x = 2y2

Simplifying
x = 2y2
Solution
x = {-2y2, 2y2}