(8x^2y+9xy^2+xy)-(2x^2y-2xy^2-xy)=

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Solution for (8x^2y+9xy^2+xy)-(2x^2y-2xy^2-xy)= equation: 


Simplifying
(8x2y + 9xy2 + xy) + -1(2x2y + -2xy2 + -1xy) = 0

Reorder the terms:
(xy + 9xy2 + 8x2y) + -1(2x2y + -2xy2 + -1xy) = 0

Remove parenthesis around (xy + 9xy2 + 8x2y)
xy + 9xy2 + 8x2y + -1(2x2y + -2xy2 + -1xy) = 0

Reorder the terms:
xy + 9xy2 + 8x2y + -1(-1xy + -2xy2 + 2x2y) = 0
xy + 9xy2 + 8x2y + (-1xy * -1 + -2xy2 * -1 + 2x2y * -1) = 0
xy + 9xy2 + 8x2y + (1xy + 2xy2 + -2x2y) = 0

Reorder the terms:
xy + 1xy + 9xy2 + 2xy2 + 8x2y + -2x2y = 0

Combine like terms: xy + 1xy = 2xy
2xy + 9xy2 + 2xy2 + 8x2y + -2x2y = 0

Combine like terms: 9xy2 + 2xy2 = 11xy2
2xy + 11xy2 + 8x2y + -2x2y = 0

Combine like terms: 8x2y + -2x2y = 6x2y
2xy + 11xy2 + 6x2y = 0

Solving
2xy + 11xy2 + 6x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(2 + 11y + 6x) = 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 '(2 + 11y + 6x)' equal to zero and attempt to solve:

Simplifying
2 + 11y + 6x = 0

Reorder the terms:
2 + 6x + 11y = 0

Solving
2 + 6x + 11y = 0

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

Add '-2' to each side of the equation.
2 + 6x + -2 + 11y = 0 + -2

Reorder the terms:
2 + -2 + 6x + 11y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 6x + 11y = 0 + -2
6x + 11y = 0 + -2

Combine like terms: 0 + -2 = -2
6x + 11y = -2

Add '-11y' to each side of the equation.
6x + 11y + -11y = -2 + -11y

Combine like terms: 11y + -11y = 0
6x + 0 = -2 + -11y
6x = -2 + -11y

Divide each side by '6'.
x = -0.3333333333 + -1.833333333y

Simplifying
x = -0.3333333333 + -1.833333333y
Solution
x = {-0.3333333333 + -1.833333333y}

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