80x^4y-605x^2y^3=0

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Solution for 80x^4y-605x^2y^3=0 equation: 


Simplifying
80x4y + -605x2y3 = 0

Reorder the terms:
-605x2y3 + 80x4y = 0

Solving
-605x2y3 + 80x4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2y'.
5x2y(-121y2 + 16x2) = 0

Factor a difference between two squares.
5x2y((11y + 4x)(-11y + 4x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve:

Simplifying
x2y = 0

Solving
x2y = 0

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

Simplifying
x2y = 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 '(11y + 4x)' equal to zero and attempt to solve:

Simplifying
11y + 4x = 0

Reorder the terms:
4x + 11y = 0

Solving
4x + 11y = 0

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

Add '-11y' to each side of the equation.
4x + 11y + -11y = 0 + -11y

Combine like terms: 11y + -11y = 0
4x + 0 = 0 + -11y
4x = 0 + -11y
Remove the zero:
4x = -11y

Divide each side by '4'.
x = -2.75y

Simplifying
x = -2.75y

Subproblem 3
Set the factor '(-11y + 4x)' equal to zero and attempt to solve:

Simplifying
-11y + 4x = 0

Reorder the terms:
4x + -11y = 0

Solving
4x + -11y = 0

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

Add '11y' to each side of the equation.
4x + -11y + 11y = 0 + 11y

Combine like terms: -11y + 11y = 0
4x + 0 = 0 + 11y
4x = 0 + 11y
Remove the zero:
4x = 11y

Divide each side by '4'.
x = 2.75y

Simplifying
x = 2.75y
Solution
x = {-2.75y, 2.75y}

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