(8x^3+6x^2y^2+6xy^2)+(4x^3y^2-4x^2y^2-4xy^2)=

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Solution for (8x^3+6x^2y^2+6xy^2)+(4x^3y^2-4x^2y^2-4xy^2)= equation: 


Simplifying
(8x3 + 6x2y2 + 6xy2) + (4x3y2 + -4x2y2 + -4xy2) = 0

Reorder the terms:
(6xy2 + 6x2y2 + 8x3) + (4x3y2 + -4x2y2 + -4xy2) = 0

Remove parenthesis around (6xy2 + 6x2y2 + 8x3)
6xy2 + 6x2y2 + 8x3 + (4x3y2 + -4x2y2 + -4xy2) = 0

Reorder the terms:
6xy2 + 6x2y2 + 8x3 + (-4xy2 + -4x2y2 + 4x3y2) = 0

Remove parenthesis around (-4xy2 + -4x2y2 + 4x3y2)
6xy2 + 6x2y2 + 8x3 + -4xy2 + -4x2y2 + 4x3y2 = 0

Reorder the terms:
6xy2 + -4xy2 + 6x2y2 + -4x2y2 + 8x3 + 4x3y2 = 0

Combine like terms: 6xy2 + -4xy2 = 2xy2
2xy2 + 6x2y2 + -4x2y2 + 8x3 + 4x3y2 = 0

Combine like terms: 6x2y2 + -4x2y2 = 2x2y2
2xy2 + 2x2y2 + 8x3 + 4x3y2 = 0

Solving
2xy2 + 2x2y2 + 8x3 + 4x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(y2 + xy2 + 4x2 + 2x2y2) = 0

Ignore the factor 2.

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 '(y2 + xy2 + 4x2 + 2x2y2)' equal to zero and attempt to solve:

Simplifying
y2 + xy2 + 4x2 + 2x2y2 = 0

Reorder the terms:
xy2 + 4x2 + 2x2y2 + y2 = 0

Solving
xy2 + 4x2 + 2x2y2 + y2 = 0

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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