(7x^2y-5xy+5xy^2)-(4x^2y+8xy+4xy^2)=

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Solution for (7x^2y-5xy+5xy^2)-(4x^2y+8xy+4xy^2)= equation: 


Simplifying
(7x2y + -5xy + 5xy2) + -1(4x2y + 8xy + 4xy2) = 0

Reorder the terms:
(-5xy + 5xy2 + 7x2y) + -1(4x2y + 8xy + 4xy2) = 0

Remove parenthesis around (-5xy + 5xy2 + 7x2y)
-5xy + 5xy2 + 7x2y + -1(4x2y + 8xy + 4xy2) = 0

Reorder the terms:
-5xy + 5xy2 + 7x2y + -1(8xy + 4xy2 + 4x2y) = 0
-5xy + 5xy2 + 7x2y + (8xy * -1 + 4xy2 * -1 + 4x2y * -1) = 0
-5xy + 5xy2 + 7x2y + (-8xy + -4xy2 + -4x2y) = 0

Reorder the terms:
-5xy + -8xy + 5xy2 + -4xy2 + 7x2y + -4x2y = 0

Combine like terms: -5xy + -8xy = -13xy
-13xy + 5xy2 + -4xy2 + 7x2y + -4x2y = 0

Combine like terms: 5xy2 + -4xy2 = 1xy2
-13xy + 1xy2 + 7x2y + -4x2y = 0

Combine like terms: 7x2y + -4x2y = 3x2y
-13xy + 1xy2 + 3x2y = 0

Solving
-13xy + 1xy2 + 3x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-13 + y + 3x) = 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 '(-13 + y + 3x)' equal to zero and attempt to solve:

Simplifying
-13 + y + 3x = 0

Reorder the terms:
-13 + 3x + y = 0

Solving
-13 + 3x + y = 0

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

Add '13' to each side of the equation.
-13 + 3x + 13 + y = 0 + 13

Reorder the terms:
-13 + 13 + 3x + y = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 3x + y = 0 + 13
3x + y = 0 + 13

Combine like terms: 0 + 13 = 13
3x + y = 13

Add '-1y' to each side of the equation.
3x + y + -1y = 13 + -1y

Combine like terms: y + -1y = 0
3x + 0 = 13 + -1y
3x = 13 + -1y

Divide each side by '3'.
x = 4.333333333 + -0.3333333333y

Simplifying
x = 4.333333333 + -0.3333333333y
Solution
x = {4.333333333 + -0.3333333333y}

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