(5x^2y-4xy+8xy^2)-(3x^2+7xy+5xy^2)=

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Solution for (5x^2y-4xy+8xy^2)-(3x^2+7xy+5xy^2)= equation: 


Simplifying
(5x2y + -4xy + 8xy2) + -1(3x2 + 7xy + 5xy2) = 0

Reorder the terms:
(-4xy + 8xy2 + 5x2y) + -1(3x2 + 7xy + 5xy2) = 0

Remove parenthesis around (-4xy + 8xy2 + 5x2y)
-4xy + 8xy2 + 5x2y + -1(3x2 + 7xy + 5xy2) = 0

Reorder the terms:
-4xy + 8xy2 + 5x2y + -1(7xy + 5xy2 + 3x2) = 0
-4xy + 8xy2 + 5x2y + (7xy * -1 + 5xy2 * -1 + 3x2 * -1) = 0
-4xy + 8xy2 + 5x2y + (-7xy + -5xy2 + -3x2) = 0

Reorder the terms:
-4xy + -7xy + 8xy2 + -5xy2 + -3x2 + 5x2y = 0

Combine like terms: -4xy + -7xy = -11xy
-11xy + 8xy2 + -5xy2 + -3x2 + 5x2y = 0

Combine like terms: 8xy2 + -5xy2 = 3xy2
-11xy + 3xy2 + -3x2 + 5x2y = 0

Solving
-11xy + 3xy2 + -3x2 + 5x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11y + 3y2 + -3x + 5xy) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-11y + 3y2 + -3x + 5xy)' equal to zero and attempt to solve:

Simplifying
-11y + 3y2 + -3x + 5xy = 0

Reorder the terms:
-3x + 5xy + -11y + 3y2 = 0

Solving
-3x + 5xy + -11y + 3y2 = 0

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

Add '11y' to each side of the equation.
-3x + 5xy + -11y + 11y + 3y2 = 0 + 11y

Combine like terms: -11y + 11y = 0
-3x + 5xy + 0 + 3y2 = 0 + 11y
-3x + 5xy + 3y2 = 0 + 11y
Remove the zero:
-3x + 5xy + 3y2 = 11y

Add '-3y2' to each side of the equation.
-3x + 5xy + 3y2 + -3y2 = 11y + -3y2

Combine like terms: 3y2 + -3y2 = 0
-3x + 5xy + 0 = 11y + -3y2
-3x + 5xy = 11y + -3y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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