(3x^2y-4xy+8xy^2)-(4x^2y+7xy+3xy^2)=

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Solution for (3x^2y-4xy+8xy^2)-(4x^2y+7xy+3xy^2)= equation: 


Simplifying
(3x2y + -4xy + 8xy2) + -1(4x2y + 7xy + 3xy2) = 0

Reorder the terms:
(-4xy + 8xy2 + 3x2y) + -1(4x2y + 7xy + 3xy2) = 0

Remove parenthesis around (-4xy + 8xy2 + 3x2y)
-4xy + 8xy2 + 3x2y + -1(4x2y + 7xy + 3xy2) = 0

Reorder the terms:
-4xy + 8xy2 + 3x2y + -1(7xy + 3xy2 + 4x2y) = 0
-4xy + 8xy2 + 3x2y + (7xy * -1 + 3xy2 * -1 + 4x2y * -1) = 0
-4xy + 8xy2 + 3x2y + (-7xy + -3xy2 + -4x2y) = 0

Reorder the terms:
-4xy + -7xy + 8xy2 + -3xy2 + 3x2y + -4x2y = 0

Combine like terms: -4xy + -7xy = -11xy
-11xy + 8xy2 + -3xy2 + 3x2y + -4x2y = 0

Combine like terms: 8xy2 + -3xy2 = 5xy2
-11xy + 5xy2 + 3x2y + -4x2y = 0

Combine like terms: 3x2y + -4x2y = -1x2y
-11xy + 5xy2 + -1x2y = 0

Solving
-11xy + 5xy2 + -1x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-11 + 5y + -1x) = 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 '(-11 + 5y + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + 5y + -1x = 0

Reorder the terms:
-11 + -1x + 5y = 0

Solving
-11 + -1x + 5y = 0

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

Add '11' to each side of the equation.
-11 + -1x + 11 + 5y = 0 + 11

Reorder the terms:
-11 + 11 + -1x + 5y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x + 5y = 0 + 11
-1x + 5y = 0 + 11

Combine like terms: 0 + 11 = 11
-1x + 5y = 11

Add '-5y' to each side of the equation.
-1x + 5y + -5y = 11 + -5y

Combine like terms: 5y + -5y = 0
-1x + 0 = 11 + -5y
-1x = 11 + -5y

Divide each side by '-1'.
x = -11 + 5y

Simplifying
x = -11 + 5y
Solution
x = {-11 + 5y}

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