Ax^3-ay^3-bx^3+by^3=0

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Solution for Ax^3-ay^3-bx^3+by^3=0 equation: 


Simplifying
Ax3 + -1ay3 + -1bx3 + by3 = 0

Reorder the terms:
-1ay3 + -1bx3 + by3 + x3A = 0

Solving
-1ay3 + -1bx3 + by3 + x3A = 0

Solving for variable 'a'.

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

Add 'bx3' to each side of the equation.
-1ay3 + -1bx3 + by3 + bx3 + x3A = 0 + bx3

Reorder the terms:
-1ay3 + -1bx3 + bx3 + by3 + x3A = 0 + bx3

Combine like terms: -1bx3 + bx3 = 0
-1ay3 + 0 + by3 + x3A = 0 + bx3
-1ay3 + by3 + x3A = 0 + bx3
Remove the zero:
-1ay3 + by3 + x3A = bx3

Add '-1by3' to each side of the equation.
-1ay3 + by3 + -1by3 + x3A = bx3 + -1by3

Combine like terms: by3 + -1by3 = 0
-1ay3 + 0 + x3A = bx3 + -1by3
-1ay3 + x3A = bx3 + -1by3

Add '-1x3A' to each side of the equation.
-1ay3 + x3A + -1x3A = bx3 + -1by3 + -1x3A

Combine like terms: x3A + -1x3A = 0
-1ay3 + 0 = bx3 + -1by3 + -1x3A
-1ay3 = bx3 + -1by3 + -1x3A

Divide each side by '-1y3'.
a = -1bx3y-3 + b + x3y-3A

Simplifying
a = -1bx3y-3 + b + x3y-3A

Reorder the terms:
a = b + -1bx3y-3 + x3y-3A

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