25-x^4*y^4=0

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


Simplifying
25 + -1x4 * y4 = 0

Multiply x4 * y4
25 + -1x4y4 = 0

Solving
25 + -1x4y4 = 0

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + -1x4y4 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x4y4 = 0 + -25
-1x4y4 = 0 + -25

Combine like terms: 0 + -25 = -25
-1x4y4 = -25

Divide each side by '-1y4'.
x4 = 25y-4

Simplifying
x4 = 25y-4

Combine like terms: 25y-4 + -25y-4 = 0
x4 + -25y-4 = 0

Factor out the Greatest Common Factor (GCF), 'y-4'.
y-4(x4y4 + -25) = 0

Factor a difference between two squares.
y-4((x2y2 + 5)(x2y2 + -5)) = 0


Subproblem 1
Set the factor 'y-4' equal to zero and attempt to solve:

Simplifying
y-4 = 0

Solving
y-4 = 0

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

Add '-1y-4' to each side of the equation.
y-4 + -1y-4 = 0 + -1y-4
Remove the zero:
0 = -1y-4

Simplifying
0 = -1y-4

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 '(x2y2 + 5)' equal to zero and attempt to solve:

Simplifying
x2y2 + 5 = 0

Reorder the terms:
5 + x2y2 = 0

Solving
5 + x2y2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + x2y2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x2y2 = 0 + -5
x2y2 = 0 + -5

Combine like terms: 0 + -5 = -5
x2y2 = -5

Divide each side by 'y2'.
x2 = -5y-2

Simplifying
x2 = -5y-2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(x2y2 + -5)' equal to zero and attempt to solve:

Simplifying
x2y2 + -5 = 0

Reorder the terms:
-5 + x2y2 = 0

Solving
-5 + x2y2 = 0

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

Add '5' to each side of the equation.
-5 + 5 + x2y2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x2y2 = 0 + 5
x2y2 = 0 + 5

Combine like terms: 0 + 5 = 5
x2y2 = 5

Divide each side by 'y2'.
x2 = 5y-2

Simplifying
x2 = 5y-2

Take the square root of each side:
x = {-2.236067978y-1, 2.236067978y-1}
Solution
x = {-2.236067978y-1, 2.236067978y-1}

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