(x^3+y^5)x(x^3-y^5)=

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Solution for (x^3+y^5)x(x^3-y^5)= equation: 


Simplifying
(x3 + y5) * x(x3 + -1y5) = 0

Reorder the terms for easier multiplication:
x(x3 + y5)(x3 + -1y5) = 0

Multiply (x3 + y5) * (x3 + -1y5)
x(x3(x3 + -1y5) + y5(x3 + -1y5)) = 0
x((x3 * x3 + -1y5 * x3) + y5(x3 + -1y5)) = 0

Reorder the terms:
x((-1x3y5 + x6) + y5(x3 + -1y5)) = 0
x((-1x3y5 + x6) + y5(x3 + -1y5)) = 0
x(-1x3y5 + x6 + (x3 * y5 + -1y5 * y5)) = 0
x(-1x3y5 + x6 + (x3y5 + -1y10)) = 0

Reorder the terms:
x(-1x3y5 + x3y5 + x6 + -1y10) = 0

Combine like terms: -1x3y5 + x3y5 = 0
x(0 + x6 + -1y10) = 0
x(x6 + -1y10) = 0
(x6 * x + -1y10 * x) = 0

Reorder the terms:
(-1xy10 + x7) = 0
(-1xy10 + x7) = 0

Solving
-1xy10 + x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1y10 + x6) = 0

Factor a difference between two squares.
x((y5 + x3)(-1y5 + x3)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(y5 + x3)' equal to zero and attempt to solve:

Simplifying
y5 + x3 = 0

Reorder the terms:
x3 + y5 = 0

Solving
x3 + y5 = 0

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

Add '-1y5' to each side of the equation.
x3 + y5 + -1y5 = 0 + -1y5

Combine like terms: y5 + -1y5 = 0
x3 + 0 = 0 + -1y5
x3 = 0 + -1y5
Remove the zero:
x3 = -1y5

Simplifying
x3 = -1y5

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 '(-1y5 + x3)' equal to zero and attempt to solve:

Simplifying
-1y5 + x3 = 0

Reorder the terms:
x3 + -1y5 = 0

Solving
x3 + -1y5 = 0

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

Add 'y5' to each side of the equation.
x3 + -1y5 + y5 = 0 + y5

Combine like terms: -1y5 + y5 = 0
x3 + 0 = 0 + y5
x3 = 0 + y5
Remove the zero:
x3 = y5

Simplifying
x3 = y5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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