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

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


Simplifying
(x5 + -4)(x5 + 4) = 0

Reorder the terms:
(-4 + x5)(x5 + 4) = 0

Reorder the terms:
(-4 + x5)(4 + x5) = 0

Multiply (-4 + x5) * (4 + x5)
(-4(4 + x5) + x5(4 + x5)) = 0
((4 * -4 + x5 * -4) + x5(4 + x5)) = 0
((-16 + -4x5) + x5(4 + x5)) = 0
(-16 + -4x5 + (4 * x5 + x5 * x5)) = 0
(-16 + -4x5 + (4x5 + x10)) = 0

Combine like terms: -4x5 + 4x5 = 0
(-16 + 0 + x10) = 0
(-16 + x10) = 0

Solving
-16 + x10 = 0

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + x10 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + x10 = 0 + 16
x10 = 0 + 16

Combine like terms: 0 + 16 = 16
x10 = 16

Simplifying
x10 = 16

Reorder the terms:
-16 + x10 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + x10 = 0

Factor a difference between two squares.
(4 + x5)(-4 + x5) = 0

Subproblem 1

Set the factor '(4 + x5)' equal to zero and attempt to solve: Simplifying 4 + x5 = 0 Solving 4 + x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x5 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x5 = 0 + -4 x5 = 0 + -4 Combine like terms: 0 + -4 = -4 x5 = -4 Simplifying x5 = -4 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 '(-4 + x5)' equal to zero and attempt to solve: Simplifying -4 + x5 = 0 Solving -4 + x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x5 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x5 = 0 + 4 x5 = 0 + 4 Combine like terms: 0 + 4 = 4 x5 = 4 Simplifying x5 = 4 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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