x^6-729=0

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Solution for x^6-729=0 equation:


Simplifying
x6 + -729 = 0

Reorder the terms:
-729 + x6 = 0

Solving
-729 + x6 = 0

Solving for variable 'x'.

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

Add '729' to each side of the equation.
-729 + 729 + x6 = 0 + 729

Combine like terms: -729 + 729 = 0
0 + x6 = 0 + 729
x6 = 0 + 729

Combine like terms: 0 + 729 = 729
x6 = 729

Simplifying
x6 = 729

Reorder the terms:
-729 + x6 = 729 + -729

Combine like terms: 729 + -729 = 0
-729 + x6 = 0

Factor a difference between two squares.
(27 + x3)(-27 + x3) = 0

Subproblem 1

Set the factor '(27 + x3)' equal to zero and attempt to solve: Simplifying 27 + x3 = 0 Solving 27 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x3 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x3 = 0 + -27 x3 = 0 + -27 Combine like terms: 0 + -27 = -27 x3 = -27 Simplifying x3 = -27 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 '(-27 + x3)' equal to zero and attempt to solve: Simplifying -27 + x3 = 0 Solving -27 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + x3 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + x3 = 0 + 27 x3 = 0 + 27 Combine like terms: 0 + 27 = 27 x3 = 27 Simplifying x3 = 27 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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