3x^2y+3xy^2-7x^2y+5xy^2=

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Solution for 3x^2y+3xy^2-7x^2y+5xy^2= equation: 


Simplifying
3x2y + 3xy2 + -7x2y + 5xy2 = 0

Reorder the terms:
3xy2 + 5xy2 + 3x2y + -7x2y = 0

Combine like terms: 3xy2 + 5xy2 = 8xy2
8xy2 + 3x2y + -7x2y = 0

Combine like terms: 3x2y + -7x2y = -4x2y
8xy2 + -4x2y = 0

Solving
8xy2 + -4x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4xy'.
4xy(2y + -1x) = 0

Ignore the factor 4.

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 '(2y + -1x)' equal to zero and attempt to solve:

Simplifying
2y + -1x = 0

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

Solving
-1x + 2y = 0

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

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

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

Divide each side by '-1'.
x = 2y

Simplifying
x = 2y
Solution
x = {2y}

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