16x^4-64y^8=

Solution for 16x^4-64y^8= equation:

Simplifying
16x4 + -64y8 = 0

Solving
16x4 + -64y8 = 0

Solving for variable 'x'.

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

Add '64y8' to each side of the equation.
16x4 + -64y8 + 64y8 = 0 + 64y8

Combine like terms: -64y8 + 64y8 = 0
16x4 + 0 = 0 + 64y8
16x4 = 0 + 64y8
Remove the zero:
16x4 = 64y8

Divide each side by '16'.
x4 = 4y8

Simplifying
x4 = 4y8

Combine like terms: 4y8 + -4y8 = 0
x4 + -4y8 = 0

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

Subproblem 1
Set the factor '(x2 + 2y4)' equal to zero and attempt to solve:

Simplifying
x2 + 2y4 = 0

Solving
x2 + 2y4 = 0

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

Add '-2y4' to each side of the equation.
x2 + 2y4 + -2y4 = 0 + -2y4

Combine like terms: 2y4 + -2y4 = 0
x2 + 0 = 0 + -2y4
x2 = 0 + -2y4
Remove the zero:
x2 = -2y4

Simplifying
x2 = -2y4

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 + -2y4)' equal to zero and attempt to solve:

Simplifying
x2 + -2y4 = 0

Solving
x2 + -2y4 = 0

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

Add '2y4' to each side of the equation.
x2 + -2y4 + 2y4 = 0 + 2y4

Combine like terms: -2y4 + 2y4 = 0
x2 + 0 = 0 + 2y4
x2 = 0 + 2y4
Remove the zero:
x2 = 2y4

Simplifying
x2 = 2y4

Take the square root of each side:
x = {-1.414213562y2, 1.414213562y2}
Solution
x = {-1.414213562y2, 1.414213562y2}