(9x^2y^2+3x+y)-(x+y+y^2x^2+x^2y)=

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Solution for (9x^2y^2+3x+y)-(x+y+y^2x^2+x^2y)= equation: 


Simplifying
(9x2y2 + 3x + y) + -1(x + y + y2x2 + x2y) = 0

Reorder the terms:
(3x + 9x2y2 + y) + -1(x + y + y2x2 + x2y) = 0

Remove parenthesis around (3x + 9x2y2 + y)
3x + 9x2y2 + y + -1(x + y + y2x2 + x2y) = 0

Reorder the terms:
3x + 9x2y2 + y + -1(x + x2y + x2y2 + y) = 0
3x + 9x2y2 + y + (x * -1 + x2y * -1 + x2y2 * -1 + y * -1) = 0
3x + 9x2y2 + y + (-1x + -1x2y + -1x2y2 + -1y) = 0

Reorder the terms:
3x + -1x + -1x2y + 9x2y2 + -1x2y2 + y + -1y = 0

Combine like terms: 3x + -1x = 2x
2x + -1x2y + 9x2y2 + -1x2y2 + y + -1y = 0

Combine like terms: 9x2y2 + -1x2y2 = 8x2y2
2x + -1x2y + 8x2y2 + y + -1y = 0

Combine like terms: y + -1y = 0
2x + -1x2y + 8x2y2 + 0 = 0
2x + -1x2y + 8x2y2 = 0

Solving
2x + -1x2y + 8x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + -1xy + 8xy2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(2 + -1xy + 8xy2)' equal to zero and attempt to solve:

Simplifying
2 + -1xy + 8xy2 = 0

Solving
2 + -1xy + 8xy2 = 0

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

Add '-2' to each side of the equation.
2 + -1xy + -2 + 8xy2 = 0 + -2

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

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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