x^6y^4-a^8b^6=

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Solution for x^6y^4-a^8b^6= equation: 


Simplifying
x6y4 + -1a8b6 = 0

Reorder the terms:
-1a8b6 + x6y4 = 0

Solving
-1a8b6 + x6y4 = 0

Solving for variable 'a'.

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

Add '-1x6y4' to each side of the equation.
-1a8b6 + x6y4 + -1x6y4 = 0 + -1x6y4

Combine like terms: x6y4 + -1x6y4 = 0
-1a8b6 + 0 = 0 + -1x6y4
-1a8b6 = 0 + -1x6y4
Remove the zero:
-1a8b6 = -1x6y4

Divide each side by '-1b6'.
a8 = b-6x6y4

Simplifying
a8 = b-6x6y4

Combine like terms: b-6x6y4 + -1b-6x6y4 = 0
a8 + -1b-6x6y4 = 0

Factor a difference between two squares.
(a4 + b-3x3y2)(a4 + -1b-3x3y2) = 0


Subproblem 1
Set the factor '(a4 + b-3x3y2)' equal to zero and attempt to solve:

Simplifying
a4 + b-3x3y2 = 0

Solving
a4 + b-3x3y2 = 0

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

Add '-1b-3x3y2' to each side of the equation.
a4 + b-3x3y2 + -1b-3x3y2 = 0 + -1b-3x3y2

Combine like terms: b-3x3y2 + -1b-3x3y2 = 0
a4 + 0 = 0 + -1b-3x3y2
a4 = 0 + -1b-3x3y2
Remove the zero:
a4 = -1b-3x3y2

Simplifying
a4 = -1b-3x3y2

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 '(a4 + -1b-3x3y2)' equal to zero and attempt to solve:

Simplifying
a4 + -1b-3x3y2 = 0

Solving
a4 + -1b-3x3y2 = 0

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

Add 'b-3x3y2' to each side of the equation.
a4 + -1b-3x3y2 + b-3x3y2 = 0 + b-3x3y2

Combine like terms: -1b-3x3y2 + b-3x3y2 = 0
a4 + 0 = 0 + b-3x3y2
a4 = 0 + b-3x3y2
Remove the zero:
a4 = b-3x3y2

Simplifying
a4 = b-3x3y2

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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