16x^4-y^4=0

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

Simplifying
16x4 + -1y4 = 0

Solving
16x4 + -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.
16x4 + -1y4 + y4 = 0 + y4

Combine like terms: -1y4 + y4 = 0
16x4 + 0 = 0 + y4
16x4 = 0 + y4
Remove the zero:
16x4 = y4

Divide each side by '16'.
x4 = 0.0625y4

Simplifying
x4 = 0.0625y4

Combine like terms: 0.0625y4 + -0.0625y4 = 0.0000
x4 + -0.0625y4 = 0.0000

Factor a difference between two squares.
(x2 + 0.25y2)(x2 + -0.25y2) = 0.0000

Factor a difference between two squares.
(x2 + 0.25y2)((x + 0.5y)(x + -0.5y)) = 0.0000

Subproblem 1
Set the factor '(x2 + 0.25y2)' equal to zero and attempt to solve:

Simplifying
x2 + 0.25y2 = 0

Solving
x2 + 0.25y2 = 0

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

Add '-0.25y2' to each side of the equation.
x2 + 0.25y2 + -0.25y2 = 0 + -0.25y2

Combine like terms: 0.25y2 + -0.25y2 = 0.00
x2 + 0.00 = 0 + -0.25y2
x2 = 0 + -0.25y2
Remove the zero:
x2 = -0.25y2

Simplifying
x2 = -0.25y2

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 + 0.5y)' equal to zero and attempt to solve:

Simplifying
x + 0.5y = 0

Solving
x + 0.5y = 0

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

Add '-0.5y' to each side of the equation.
x + 0.5y + -0.5y = 0 + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
x + 0.0 = 0 + -0.5y
x = 0 + -0.5y
Remove the zero:
x = -0.5y

Simplifying
x = -0.5y
Subproblem 3
Set the factor '(x + -0.5y)' equal to zero and attempt to solve:

Simplifying
x + -0.5y = 0

Solving
x + -0.5y = 0

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

Add '0.5y' to each side of the equation.
x + -0.5y + 0.5y = 0 + 0.5y

Combine like terms: -0.5y + 0.5y = 0.0
x + 0.0 = 0 + 0.5y
x = 0 + 0.5y
Remove the zero:
x = 0.5y

Simplifying
x = 0.5y
Solution
x = {-0.5y, 0.5y}