(4x^2y+5xy)-(9xy-3x^2)+(2xy-x^2y)=

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Solution for (4x^2y+5xy)-(9xy-3x^2)+(2xy-x^2y)= equation: 


Simplifying
(4x2y + 5xy) + -1(9xy + -3x2) + (2xy + -1x2y) = 0

Reorder the terms:
(5xy + 4x2y) + -1(9xy + -3x2) + (2xy + -1x2y) = 0

Remove parenthesis around (5xy + 4x2y)
5xy + 4x2y + -1(9xy + -3x2) + (2xy + -1x2y) = 0
5xy + 4x2y + (9xy * -1 + -3x2 * -1) + (2xy + -1x2y) = 0
5xy + 4x2y + (-9xy + 3x2) + (2xy + -1x2y) = 0

Remove parenthesis around (2xy + -1x2y)
5xy + 4x2y + -9xy + 3x2 + 2xy + -1x2y = 0

Reorder the terms:
5xy + -9xy + 2xy + 3x2 + 4x2y + -1x2y = 0

Combine like terms: 5xy + -9xy = -4xy
-4xy + 2xy + 3x2 + 4x2y + -1x2y = 0

Combine like terms: -4xy + 2xy = -2xy
-2xy + 3x2 + 4x2y + -1x2y = 0

Combine like terms: 4x2y + -1x2y = 3x2y
-2xy + 3x2 + 3x2y = 0

Solving
-2xy + 3x2 + 3x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2y + 3x + 3xy) = 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 '(-2y + 3x + 3xy)' equal to zero and attempt to solve:

Simplifying
-2y + 3x + 3xy = 0

Reorder the terms:
3x + 3xy + -2y = 0

Solving
3x + 3xy + -2y = 0

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

Add '2y' to each side of the equation.
3x + 3xy + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
3x + 3xy + 0 = 0 + 2y
3x + 3xy = 0 + 2y
Remove the zero:
3x + 3xy = 2y

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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