x^6-64=0

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Solution for x^6-64=0 equation:


Simplifying
x6 + -64 = 0

Reorder the terms:
-64 + x6 = 0

Solving
-64 + x6 = 0

Solving for variable 'x'.

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

Add '64' to each side of the equation.
-64 + 64 + x6 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + x6 = 0 + 64
x6 = 0 + 64

Combine like terms: 0 + 64 = 64
x6 = 64

Simplifying
x6 = 64

Reorder the terms:
-64 + x6 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + x6 = 0

Factor a difference between two squares.
(8 + x3)(-8 + x3) = 0

Subproblem 1

Set the factor '(8 + x3)' equal to zero and attempt to solve: Simplifying 8 + x3 = 0 Solving 8 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x3 = 0 + -8 x3 = 0 + -8 Combine like terms: 0 + -8 = -8 x3 = -8 Simplifying x3 = -8 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 '(-8 + x3)' equal to zero and attempt to solve: Simplifying -8 + x3 = 0 Solving -8 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x3 = 0 + 8 x3 = 0 + 8 Combine like terms: 0 + 8 = 8 x3 = 8 Simplifying x3 = 8 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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