b^20-x^8y^8=0

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Solution for b^20-x^8y^8=0 equation: 


Simplifying
b20 + -1x8y8 = 0

Solving
b20 + -1x8y8 = 0

Solving for variable 'b'.

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

Add 'x8y8' to each side of the equation.
b20 + -1x8y8 + x8y8 = 0 + x8y8

Combine like terms: -1x8y8 + x8y8 = 0
b20 + 0 = 0 + x8y8
b20 = 0 + x8y8
Remove the zero:
b20 = x8y8

Simplifying
b20 = x8y8

Combine like terms: x8y8 + -1x8y8 = 0
b20 + -1x8y8 = 0

Factor a difference between two squares.
(b10 + x4y4)(b10 + -1x4y4) = 0

Factor a difference between two squares.
(b10 + x4y4)((b5 + x2y2)(b5 + -1x2y2)) = 0


Subproblem 1
Set the factor '(b10 + x4y4)' equal to zero and attempt to solve:

Simplifying
b10 + x4y4 = 0

Solving
b10 + x4y4 = 0

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

Add '-1x4y4' to each side of the equation.
b10 + x4y4 + -1x4y4 = 0 + -1x4y4

Combine like terms: x4y4 + -1x4y4 = 0
b10 + 0 = 0 + -1x4y4
b10 = 0 + -1x4y4
Remove the zero:
b10 = -1x4y4

Simplifying
b10 = -1x4y4

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 '(b5 + x2y2)' equal to zero and attempt to solve:

Simplifying
b5 + x2y2 = 0

Solving
b5 + x2y2 = 0

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

Add '-1x2y2' to each side of the equation.
b5 + x2y2 + -1x2y2 = 0 + -1x2y2

Combine like terms: x2y2 + -1x2y2 = 0
b5 + 0 = 0 + -1x2y2
b5 = 0 + -1x2y2
Remove the zero:
b5 = -1x2y2

Simplifying
b5 = -1x2y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(b5 + -1x2y2)' equal to zero and attempt to solve:

Simplifying
b5 + -1x2y2 = 0

Solving
b5 + -1x2y2 = 0

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

Add 'x2y2' to each side of the equation.
b5 + -1x2y2 + x2y2 = 0 + x2y2

Combine like terms: -1x2y2 + x2y2 = 0
b5 + 0 = 0 + x2y2
b5 = 0 + x2y2
Remove the zero:
b5 = x2y2

Simplifying
b5 = x2y2

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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