x^6-16=

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Solution for x^6-16= equation:


Simplifying
x6 + -16 = 0

Reorder the terms:
-16 + x6 = 0

Solving
-16 + x6 = 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 + x6 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + x6 = 0 + 16
x6 = 0 + 16

Combine like terms: 0 + 16 = 16
x6 = 16

Simplifying
x6 = 16

Reorder the terms:
-16 + x6 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + x6 = 0

Factor a difference between two squares.
(4 + x3)(-4 + x3) = 0

Subproblem 1

Set the factor '(4 + x3)' equal to zero and attempt to solve: Simplifying 4 + x3 = 0 Solving 4 + x3 = 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 + x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x3 = 0 + -4 x3 = 0 + -4 Combine like terms: 0 + -4 = -4 x3 = -4 Simplifying x3 = -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 + x3)' equal to zero and attempt to solve: Simplifying -4 + x3 = 0 Solving -4 + x3 = 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 + x3 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x3 = 0 + 4 x3 = 0 + 4 Combine like terms: 0 + 4 = 4 x3 = 4 Simplifying x3 = 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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