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

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


Simplifying
(3xy2 + -4xy + 3x2y) + (2xy2 + 3xy2 + 5x2y) = 0

Reorder the terms:
(-4xy + 3xy2 + 3x2y) + (2xy2 + 3xy2 + 5x2y) = 0

Remove parenthesis around (-4xy + 3xy2 + 3x2y)
-4xy + 3xy2 + 3x2y + (2xy2 + 3xy2 + 5x2y) = 0

Combine like terms: 2xy2 + 3xy2 = 5xy2
-4xy + 3xy2 + 3x2y + (5xy2 + 5x2y) = 0

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

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

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

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

Solving
-4xy + 8xy2 + 8x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4xy'.
4xy(-1 + 2y + 2x) = 0

Ignore the factor 4.

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 + 2y + 2x)' equal to zero and attempt to solve:

Simplifying
-1 + 2y + 2x = 0

Reorder the terms:
-1 + 2x + 2y = 0

Solving
-1 + 2x + 2y = 0

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

Add '1' to each side of the equation.
-1 + 2x + 1 + 2y = 0 + 1

Reorder the terms:
-1 + 1 + 2x + 2y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x + 2y = 0 + 1
2x + 2y = 0 + 1

Combine like terms: 0 + 1 = 1
2x + 2y = 1

Add '-2y' to each side of the equation.
2x + 2y + -2y = 1 + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = 1 + -2y
2x = 1 + -2y

Divide each side by '2'.
x = 0.5 + -1y

Simplifying
x = 0.5 + -1y
Solution
x = {0.5 + -1y}

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