X^8-Y^12=

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Solution for X^8-Y^12= equation: 


Simplifying
X8 + -1Y12 = 0

Solving
X8 + -1Y12 = 0

Solving for variable 'X'.

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

Add 'Y12' to each side of the equation.
X8 + -1Y12 + Y12 = 0 + Y12

Combine like terms: -1Y12 + Y12 = 0
X8 + 0 = 0 + Y12
X8 = 0 + Y12
Remove the zero:
X8 = Y12

Simplifying
X8 = Y12

Combine like terms: Y12 + -1Y12 = 0
X8 + -1Y12 = 0

Factor a difference between two squares.
(X4 + Y6)(X4 + -1Y6) = 0

Factor a difference between two squares.
(X4 + Y6)((X2 + Y3)(X2 + -1Y3)) = 0


Subproblem 1
Set the factor '(X4 + Y6)' equal to zero and attempt to solve:

Simplifying
X4 + Y6 = 0

Solving
X4 + Y6 = 0

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

Add '-1Y6' to each side of the equation.
X4 + Y6 + -1Y6 = 0 + -1Y6

Combine like terms: Y6 + -1Y6 = 0
X4 + 0 = 0 + -1Y6
X4 = 0 + -1Y6
Remove the zero:
X4 = -1Y6

Simplifying
X4 = -1Y6

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 '(X2 + Y3)' equal to zero and attempt to solve:

Simplifying
X2 + Y3 = 0

Solving
X2 + Y3 = 0

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

Add '-1Y3' to each side of the equation.
X2 + Y3 + -1Y3 = 0 + -1Y3

Combine like terms: Y3 + -1Y3 = 0
X2 + 0 = 0 + -1Y3
X2 = 0 + -1Y3
Remove the zero:
X2 = -1Y3

Simplifying
X2 = -1Y3

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 '(X2 + -1Y3)' equal to zero and attempt to solve:

Simplifying
X2 + -1Y3 = 0

Solving
X2 + -1Y3 = 0

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

Add 'Y3' to each side of the equation.
X2 + -1Y3 + Y3 = 0 + Y3

Combine like terms: -1Y3 + Y3 = 0
X2 + 0 = 0 + Y3
X2 = 0 + Y3
Remove the zero:
X2 = Y3

Simplifying
X2 = Y3

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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