25x^4-4y^4=0

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Solution for 25x^4-4y^4=0 equation: 


Simplifying
25x4 + -4y4 = 0

Solving
25x4 + -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.
25x4 + -4y4 + 4y4 = 0 + 4y4

Combine like terms: -4y4 + 4y4 = 0
25x4 + 0 = 0 + 4y4
25x4 = 0 + 4y4
Remove the zero:
25x4 = 4y4

Divide each side by '25'.
x4 = 0.16y4

Simplifying
x4 = 0.16y4

Combine like terms: 0.16y4 + -0.16y4 = 0.00
x4 + -0.16y4 = 0.00

Factor a difference between two squares.
(x2 + 0.4y2)(x2 + -0.4y2) = 0.00


Subproblem 1
Set the factor '(x2 + 0.4y2)' equal to zero and attempt to solve:

Simplifying
x2 + 0.4y2 = 0

Solving
x2 + 0.4y2 = 0

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

Add '-0.4y2' to each side of the equation.
x2 + 0.4y2 + -0.4y2 = 0 + -0.4y2

Combine like terms: 0.4y2 + -0.4y2 = 0.0
x2 + 0.0 = 0 + -0.4y2
x2 = 0 + -0.4y2
Remove the zero:
x2 = -0.4y2

Simplifying
x2 = -0.4y2

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 + -0.4y2)' equal to zero and attempt to solve:

Simplifying
x2 + -0.4y2 = 0

Solving
x2 + -0.4y2 = 0

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

Add '0.4y2' to each side of the equation.
x2 + -0.4y2 + 0.4y2 = 0 + 0.4y2

Combine like terms: -0.4y2 + 0.4y2 = 0.0
x2 + 0.0 = 0 + 0.4y2
x2 = 0 + 0.4y2
Remove the zero:
x2 = 0.4y2

Simplifying
x2 = 0.4y2

Take the square root of each side:
x = {-0.632455532y, 0.632455532y}
Solution
x = {-0.632455532y, 0.632455532y}

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