16x^4-4y^4=

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

Simplifying
16x4 + -4y4 = 0

Solving
16x4 + -4y4 = 0

Solving for variable 'x'.

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

Add '4y4' to each side of the equation.
16x4 + -4y4 + 4y4 = 0 + 4y4

Combine like terms: -4y4 + 4y4 = 0
16x4 + 0 = 0 + 4y4
16x4 = 0 + 4y4
Remove the zero:
16x4 = 4y4

Divide each side by '16'.
x4 = 0.25y4

Simplifying
x4 = 0.25y4

Combine like terms: 0.25y4 + -0.25y4 = 0.00
x4 + -0.25y4 = 0.00

Factor a difference between two squares.
(x2 + 0.5y2)(x2 + -0.5y2) = 0.00

Subproblem 1
Set the factor '(x2 + 0.5y2)' equal to zero and attempt to solve:

Simplifying
x2 + 0.5y2 = 0

Solving
x2 + 0.5y2 = 0

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

Add '-0.5y2' to each side of the equation.
x2 + 0.5y2 + -0.5y2 = 0 + -0.5y2

Combine like terms: 0.5y2 + -0.5y2 = 0.0
x2 + 0.0 = 0 + -0.5y2
x2 = 0 + -0.5y2
Remove the zero:
x2 = -0.5y2

Simplifying
x2 = -0.5y2

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 + -0.5y2)' equal to zero and attempt to solve:

Simplifying
x2 + -0.5y2 = 0

Solving
x2 + -0.5y2 = 0

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

Add '0.5y2' to each side of the equation.
x2 + -0.5y2 + 0.5y2 = 0 + 0.5y2

Combine like terms: -0.5y2 + 0.5y2 = 0.0
x2 + 0.0 = 0 + 0.5y2
x2 = 0 + 0.5y2
Remove the zero:
x2 = 0.5y2

Simplifying
x2 = 0.5y2

Take the square root of each side:
x = {-0.707106781y, 0.707106781y}
Solution
x = {-0.707106781y, 0.707106781y}