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

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


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

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

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

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

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

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

Combine like terms: 8xy2 + 5xy2 = 13xy2
7xy + 13xy2 + 7x2y + -4x2y = 0

Combine like terms: 7x2y + -4x2y = 3x2y
7xy + 13xy2 + 3x2y = 0

Solving
7xy + 13xy2 + 3x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(7 + 13y + 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 '(7 + 13y + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 13y + 3x = 0

Reorder the terms:
7 + 3x + 13y = 0

Solving
7 + 3x + 13y = 0

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

Add '-7' to each side of the equation.
7 + 3x + -7 + 13y = 0 + -7

Reorder the terms:
7 + -7 + 3x + 13y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x + 13y = 0 + -7
3x + 13y = 0 + -7

Combine like terms: 0 + -7 = -7
3x + 13y = -7

Add '-13y' to each side of the equation.
3x + 13y + -13y = -7 + -13y

Combine like terms: 13y + -13y = 0
3x + 0 = -7 + -13y
3x = -7 + -13y

Divide each side by '3'.
x = -2.333333333 + -4.333333333y

Simplifying
x = -2.333333333 + -4.333333333y
Solution
x = {-2.333333333 + -4.333333333y}

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