2500x^4-4y^4=0

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Solution for 2500x^4-4y^4=0 equation: 


Simplifying
2500x4 + -4y4 = 0

Solving
2500x4 + -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.
2500x4 + -4y4 + 4y4 = 0 + 4y4

Combine like terms: -4y4 + 4y4 = 0
2500x4 + 0 = 0 + 4y4
2500x4 = 0 + 4y4
Remove the zero:
2500x4 = 4y4

Divide each side by '2500'.
x4 = 0.0016y4

Simplifying
x4 = 0.0016y4

Combine like terms: 0.0016y4 + -0.0016y4 = 0.0000
x4 + -0.0016y4 = 0.0000

Factor a difference between two squares.
(x2 + 0.04y2)(x2 + -0.04y2) = 0.0000

Factor a difference between two squares.
(x2 + 0.04y2)((x + 0.2y)(x + -0.2y)) = 0.0000


Subproblem 1
Set the factor '(x2 + 0.04y2)' equal to zero and attempt to solve:

Simplifying
x2 + 0.04y2 = 0

Solving
x2 + 0.04y2 = 0

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

Add '-0.04y2' to each side of the equation.
x2 + 0.04y2 + -0.04y2 = 0 + -0.04y2

Combine like terms: 0.04y2 + -0.04y2 = 0.00
x2 + 0.00 = 0 + -0.04y2
x2 = 0 + -0.04y2
Remove the zero:
x2 = -0.04y2

Simplifying
x2 = -0.04y2

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 + 0.2y)' equal to zero and attempt to solve:

Simplifying
x + 0.2y = 0

Solving
x + 0.2y = 0

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

Add '-0.2y' to each side of the equation.
x + 0.2y + -0.2y = 0 + -0.2y

Combine like terms: 0.2y + -0.2y = 0.0
x + 0.0 = 0 + -0.2y
x = 0 + -0.2y
Remove the zero:
x = -0.2y

Simplifying
x = -0.2y

Subproblem 3
Set the factor '(x + -0.2y)' equal to zero and attempt to solve:

Simplifying
x + -0.2y = 0

Solving
x + -0.2y = 0

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

Add '0.2y' to each side of the equation.
x + -0.2y + 0.2y = 0 + 0.2y

Combine like terms: -0.2y + 0.2y = 0.0
x + 0.0 = 0 + 0.2y
x = 0 + 0.2y
Remove the zero:
x = 0.2y

Simplifying
x = 0.2y
Solution
x = {-0.2y, 0.2y}

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