(8x^2y-2xy+9xy^2)-(9x^2y+5xy+3xy^2)=

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Solution for (8x^2y-2xy+9xy^2)-(9x^2y+5xy+3xy^2)= equation: 


Simplifying
(8x2y + -2xy + 9xy2) + -1(9x2y + 5xy + 3xy2) = 0

Reorder the terms:
(-2xy + 9xy2 + 8x2y) + -1(9x2y + 5xy + 3xy2) = 0

Remove parenthesis around (-2xy + 9xy2 + 8x2y)
-2xy + 9xy2 + 8x2y + -1(9x2y + 5xy + 3xy2) = 0

Reorder the terms:
-2xy + 9xy2 + 8x2y + -1(5xy + 3xy2 + 9x2y) = 0
-2xy + 9xy2 + 8x2y + (5xy * -1 + 3xy2 * -1 + 9x2y * -1) = 0
-2xy + 9xy2 + 8x2y + (-5xy + -3xy2 + -9x2y) = 0

Reorder the terms:
-2xy + -5xy + 9xy2 + -3xy2 + 8x2y + -9x2y = 0

Combine like terms: -2xy + -5xy = -7xy
-7xy + 9xy2 + -3xy2 + 8x2y + -9x2y = 0

Combine like terms: 9xy2 + -3xy2 = 6xy2
-7xy + 6xy2 + 8x2y + -9x2y = 0

Combine like terms: 8x2y + -9x2y = -1x2y
-7xy + 6xy2 + -1x2y = 0

Solving
-7xy + 6xy2 + -1x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-7 + 6y + -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 '(-7 + 6y + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + 6y + -1x = 0

Reorder the terms:
-7 + -1x + 6y = 0

Solving
-7 + -1x + 6y = 0

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

Add '7' to each side of the equation.
-7 + -1x + 7 + 6y = 0 + 7

Reorder the terms:
-7 + 7 + -1x + 6y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x + 6y = 0 + 7
-1x + 6y = 0 + 7

Combine like terms: 0 + 7 = 7
-1x + 6y = 7

Add '-6y' to each side of the equation.
-1x + 6y + -6y = 7 + -6y

Combine like terms: 6y + -6y = 0
-1x + 0 = 7 + -6y
-1x = 7 + -6y

Divide each side by '-1'.
x = -7 + 6y

Simplifying
x = -7 + 6y
Solution
x = {-7 + 6y}

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