(3xy^2-5xy+x^2y)+(6xy-4xy^2-4x^2y)=

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Solution for (3xy^2-5xy+x^2y)+(6xy-4xy^2-4x^2y)= equation: 


Simplifying
(3xy2 + -5xy + x2y) + (6xy + -4xy2 + -4x2y) = 0

Reorder the terms:
(-5xy + 3xy2 + x2y) + (6xy + -4xy2 + -4x2y) = 0

Remove parenthesis around (-5xy + 3xy2 + x2y)
-5xy + 3xy2 + x2y + (6xy + -4xy2 + -4x2y) = 0

Remove parenthesis around (6xy + -4xy2 + -4x2y)
-5xy + 3xy2 + x2y + 6xy + -4xy2 + -4x2y = 0

Reorder the terms:
-5xy + 6xy + 3xy2 + -4xy2 + x2y + -4x2y = 0

Combine like terms: -5xy + 6xy = 1xy
1xy + 3xy2 + -4xy2 + x2y + -4x2y = 0

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

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

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

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(1 + -1y + -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 '(1 + -1y + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -1y + -3x = 0

Reorder the terms:
1 + -3x + -1y = 0

Solving
1 + -3x + -1y = 0

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

Add '-1' to each side of the equation.
1 + -3x + -1 + -1y = 0 + -1

Reorder the terms:
1 + -1 + -3x + -1y = 0 + -1

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

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

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

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

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

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

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