a^2x^3-a^2y^3+2ax^3-2ay^3=

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Solution for a^2x^3-a^2y^3+2ax^3-2ay^3= equation: 


Simplifying
a2x3 + -1a2y3 + 2ax3 + -2ay3 = 0

Reorder the terms:
2ax3 + -2ay3 + a2x3 + -1a2y3 = 0

Solving
2ax3 + -2ay3 + a2x3 + -1a2y3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(2x3 + -2y3 + ax3 + -1ay3) = 0


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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(2x3 + -2y3 + ax3 + -1ay3)' equal to zero and attempt to solve:

Simplifying
2x3 + -2y3 + ax3 + -1ay3 = 0

Reorder the terms:
ax3 + -1ay3 + 2x3 + -2y3 = 0

Solving
ax3 + -1ay3 + 2x3 + -2y3 = 0

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

Add '-2x3' to each side of the equation.
ax3 + -1ay3 + 2x3 + -2x3 + -2y3 = 0 + -2x3

Combine like terms: 2x3 + -2x3 = 0
ax3 + -1ay3 + 0 + -2y3 = 0 + -2x3
ax3 + -1ay3 + -2y3 = 0 + -2x3
Remove the zero:
ax3 + -1ay3 + -2y3 = -2x3

Add '2y3' to each side of the equation.
ax3 + -1ay3 + -2y3 + 2y3 = -2x3 + 2y3

Combine like terms: -2y3 + 2y3 = 0
ax3 + -1ay3 + 0 = -2x3 + 2y3
ax3 + -1ay3 = -2x3 + 2y3

The solution to this equation could not be determined.

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

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