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

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


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

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

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

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

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

Combine like terms: 5xy + 3xy = 8xy
8xy + 8xy2 + 1xy2 + 8x2y + -4x2y = 0

Combine like terms: 8xy2 + 1xy2 = 9xy2
8xy + 9xy2 + 8x2y + -4x2y = 0

Combine like terms: 8x2y + -4x2y = 4x2y
8xy + 9xy2 + 4x2y = 0

Solving
8xy + 9xy2 + 4x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(8 + 9y + 4x) = 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 '(8 + 9y + 4x)' equal to zero and attempt to solve:

Simplifying
8 + 9y + 4x = 0

Reorder the terms:
8 + 4x + 9y = 0

Solving
8 + 4x + 9y = 0

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

Add '-8' to each side of the equation.
8 + 4x + -8 + 9y = 0 + -8

Reorder the terms:
8 + -8 + 4x + 9y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 4x + 9y = 0 + -8
4x + 9y = 0 + -8

Combine like terms: 0 + -8 = -8
4x + 9y = -8

Add '-9y' to each side of the equation.
4x + 9y + -9y = -8 + -9y

Combine like terms: 9y + -9y = 0
4x + 0 = -8 + -9y
4x = -8 + -9y

Divide each side by '4'.
x = -2 + -2.25y

Simplifying
x = -2 + -2.25y
Solution
x = {-2 + -2.25y}

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