5x^2y^4-80x^4y^2=0

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Solution for 5x^2y^4-80x^4y^2=0 equation: 


Simplifying
5x2y4 + -80x4y2 = 0

Solving
5x2y4 + -80x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2y2'.
5x2y2(y2 + -16x2) = 0

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

Ignore the factor 5.

Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve:

Simplifying
x2y2 = 0

Solving
x2y2 = 0

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

Simplifying
x2y2 = 0

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 '(y + 4x)' equal to zero and attempt to solve:

Simplifying
y + 4x = 0

Reorder the terms:
4x + y = 0

Solving
4x + y = 0

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

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

Combine like terms: y + -1y = 0
4x + 0 = 0 + -1y
4x = 0 + -1y
Remove the zero:
4x = -1y

Divide each side by '4'.
x = -0.25y

Simplifying
x = -0.25y

Subproblem 3
Set the factor '(y + -4x)' equal to zero and attempt to solve:

Simplifying
y + -4x = 0

Reorder the terms:
-4x + y = 0

Solving
-4x + y = 0

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

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

Combine like terms: y + -1y = 0
-4x + 0 = 0 + -1y
-4x = 0 + -1y
Remove the zero:
-4x = -1y

Divide each side by '-4'.
x = 0.25y

Simplifying
x = 0.25y
Solution
x = {-0.25y, 0.25y}

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