4x^3y-49xy^3=0

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Solution for 4x^3y-49xy^3=0 equation: 


Simplifying
4x3y + -49xy3 = 0

Reorder the terms:
-49xy3 + 4x3y = 0

Solving
-49xy3 + 4x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-49y2 + 4x2) = 0

Factor a difference between two squares.
xy((7y + 2x)(-7y + 2x)) = 0


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

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 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 '(7y + 2x)' equal to zero and attempt to solve:

Simplifying
7y + 2x = 0

Reorder the terms:
2x + 7y = 0

Solving
2x + 7y = 0

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

Add '-7y' to each side of the equation.
2x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
2x + 0 = 0 + -7y
2x = 0 + -7y
Remove the zero:
2x = -7y

Divide each side by '2'.
x = -3.5y

Simplifying
x = -3.5y

Subproblem 3
Set the factor '(-7y + 2x)' equal to zero and attempt to solve:

Simplifying
-7y + 2x = 0

Reorder the terms:
2x + -7y = 0

Solving
2x + -7y = 0

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

Add '7y' to each side of the equation.
2x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
2x + 0 = 0 + 7y
2x = 0 + 7y
Remove the zero:
2x = 7y

Divide each side by '2'.
x = 3.5y

Simplifying
x = 3.5y
Solution
x = {-3.5y, 3.5y}

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