(3x^3y^3+2x^2y+xy^2+y^3)+(4x^3y^3-4x^2y-5xy^2-6y^3)=

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Solution for (3x^3y^3+2x^2y+xy^2+y^3)+(4x^3y^3-4x^2y-5xy^2-6y^3)= equation:


Simplifying
(3x3y3 + 2x2y + xy2 + y3) + (4x3y3 + -4x2y + -5xy2 + -6y3) = 0

Reorder the terms:
(xy2 + 2x2y + 3x3y3 + y3) + (4x3y3 + -4x2y + -5xy2 + -6y3) = 0

Remove parenthesis around (xy2 + 2x2y + 3x3y3 + y3)
xy2 + 2x2y + 3x3y3 + y3 + (4x3y3 + -4x2y + -5xy2 + -6y3) = 0

Reorder the terms:
xy2 + 2x2y + 3x3y3 + y3 + (-5xy2 + -4x2y + 4x3y3 + -6y3) = 0

Remove parenthesis around (-5xy2 + -4x2y + 4x3y3 + -6y3)
xy2 + 2x2y + 3x3y3 + y3 + -5xy2 + -4x2y + 4x3y3 + -6y3 = 0

Reorder the terms:
xy2 + -5xy2 + 2x2y + -4x2y + 3x3y3 + 4x3y3 + y3 + -6y3 = 0

Combine like terms: xy2 + -5xy2 = -4xy2
-4xy2 + 2x2y + -4x2y + 3x3y3 + 4x3y3 + y3 + -6y3 = 0

Combine like terms: 2x2y + -4x2y = -2x2y
-4xy2 + -2x2y + 3x3y3 + 4x3y3 + y3 + -6y3 = 0

Combine like terms: 3x3y3 + 4x3y3 = 7x3y3
-4xy2 + -2x2y + 7x3y3 + y3 + -6y3 = 0

Combine like terms: y3 + -6y3 = -5y3
-4xy2 + -2x2y + 7x3y3 + -5y3 = 0

Solving
-4xy2 + -2x2y + 7x3y3 + -5y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-4xy + -2x2 + 7x3y2 + -5y2) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(-4xy + -2x2 + 7x3y2 + -5y2)' equal to zero and attempt to solve: Simplifying -4xy + -2x2 + 7x3y2 + -5y2 = 0 Solving -4xy + -2x2 + 7x3y2 + -5y2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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