(x^5+y^2)(x^5-y^2)=0

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Solution for (x^5+y^2)(x^5-y^2)=0 equation: 


Simplifying
(x5 + y2)(x5 + -1y2) = 0

Multiply (x5 + y2) * (x5 + -1y2)
(x5(x5 + -1y2) + y2(x5 + -1y2)) = 0
((x5 * x5 + -1y2 * x5) + y2(x5 + -1y2)) = 0

Reorder the terms:
((-1x5y2 + x10) + y2(x5 + -1y2)) = 0
((-1x5y2 + x10) + y2(x5 + -1y2)) = 0
(-1x5y2 + x10 + (x5 * y2 + -1y2 * y2)) = 0
(-1x5y2 + x10 + (x5y2 + -1y4)) = 0

Reorder the terms:
(-1x5y2 + x5y2 + x10 + -1y4) = 0

Combine like terms: -1x5y2 + x5y2 = 0
(0 + x10 + -1y4) = 0
(x10 + -1y4) = 0

Solving
x10 + -1y4 = 0

Solving for variable 'x'.

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

Add 'y4' to each side of the equation.
x10 + -1y4 + y4 = 0 + y4

Combine like terms: -1y4 + y4 = 0
x10 + 0 = 0 + y4
x10 = 0 + y4
Remove the zero:
x10 = y4

Simplifying
x10 = y4

Combine like terms: y4 + -1y4 = 0
x10 + -1y4 = 0

Factor a difference between two squares.
(x5 + y2)(x5 + -1y2) = 0


Subproblem 1
Set the factor '(x5 + y2)' equal to zero and attempt to solve:

Simplifying
x5 + y2 = 0

Solving
x5 + y2 = 0

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

Add '-1y2' to each side of the equation.
x5 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
x5 + 0 = 0 + -1y2
x5 = 0 + -1y2
Remove the zero:
x5 = -1y2

Simplifying
x5 = -1y2

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 '(x5 + -1y2)' equal to zero and attempt to solve:

Simplifying
x5 + -1y2 = 0

Solving
x5 + -1y2 = 0

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

Add 'y2' to each side of the equation.
x5 + -1y2 + y2 = 0 + y2

Combine like terms: -1y2 + y2 = 0
x5 + 0 = 0 + y2
x5 = 0 + y2
Remove the zero:
x5 = y2

Simplifying
x5 = y2

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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