4x^5y^2-x^3y^4=0

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Solution for 4x^5y^2-x^3y^4=0 equation: 


Simplifying
4x5y2 + -1x3y4 = 0

Reorder the terms:
-1x3y4 + 4x5y2 = 0

Solving
-1x3y4 + 4x5y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3y2'.
x3y2(-1y2 + 4x2) = 0

Factor a difference between two squares.
x3y2((y + 2x)(-1y + 2x)) = 0


Subproblem 1
Set the factor 'x3y2' equal to zero and attempt to solve:

Simplifying
x3y2 = 0

Solving
x3y2 = 0

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

Simplifying
x3y2 = 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 + 2x)' equal to zero and attempt to solve:

Simplifying
y + 2x = 0

Reorder the terms:
2x + y = 0

Solving
2x + y = 0

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

Add '-1y' to each side of the equation.
2x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
2x + 0 = 0 + -1y
2x = 0 + -1y
Remove the zero:
2x = -1y

Divide each side by '2'.
x = -0.5y

Simplifying
x = -0.5y

Subproblem 3
Set the factor '(-1y + 2x)' equal to zero and attempt to solve:

Simplifying
-1y + 2x = 0

Reorder the terms:
2x + -1y = 0

Solving
2x + -1y = 0

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

Add 'y' to each side of the equation.
2x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2x + 0 = 0 + y
2x = 0 + y
Remove the zero:
2x = y

Divide each side by '2'.
x = 0.5y

Simplifying
x = 0.5y
Solution
x = {-0.5y, 0.5y}

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