(x^4+5y^5)(x^4-y^5)=

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Solution for (x^4+5y^5)(x^4-y^5)= equation:


Simplifying
(x4 + 5y5)(x4 + -1y5) = 0

Multiply (x4 + 5y5) * (x4 + -1y5)
(x4(x4 + -1y5) + 5y5 * (x4 + -1y5)) = 0
((x4 * x4 + -1y5 * x4) + 5y5 * (x4 + -1y5)) = 0

Reorder the terms:
((-1x4y5 + x8) + 5y5 * (x4 + -1y5)) = 0
((-1x4y5 + x8) + 5y5 * (x4 + -1y5)) = 0
(-1x4y5 + x8 + (x4 * 5y5 + -1y5 * 5y5)) = 0
(-1x4y5 + x8 + (5x4y5 + -5y10)) = 0

Reorder the terms:
(-1x4y5 + 5x4y5 + x8 + -5y10) = 0

Combine like terms: -1x4y5 + 5x4y5 = 4x4y5
(4x4y5 + x8 + -5y10) = 0

Solving
4x4y5 + x8 + -5y10 = 0

Solving for variable 'x'.

Factor a trinomial.
(x4 + -1y5)(x4 + 5y5) = 0

Subproblem 1

Set the factor '(x4 + -1y5)' equal to zero and attempt to solve: Simplifying x4 + -1y5 = 0 Solving x4 + -1y5 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y5' to each side of the equation. x4 + -1y5 + y5 = 0 + y5 Combine like terms: -1y5 + y5 = 0 x4 + 0 = 0 + y5 x4 = 0 + y5 Remove the zero: x4 = y5 Simplifying x4 = y5 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 '(x4 + 5y5)' equal to zero and attempt to solve: Simplifying x4 + 5y5 = 0 Solving x4 + 5y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y5' to each side of the equation. x4 + 5y5 + -5y5 = 0 + -5y5 Combine like terms: 5y5 + -5y5 = 0 x4 + 0 = 0 + -5y5 x4 = 0 + -5y5 Remove the zero: x4 = -5y5 Simplifying x4 = -5y5 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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