x^6-2=34

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Solution for x^6-2=34 equation:


Simplifying
x6 + -2 = 34

Reorder the terms:
-2 + x6 = 34

Solving
-2 + x6 = 34

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x6 = 34 + 2

Combine like terms: -2 + 2 = 0
0 + x6 = 34 + 2
x6 = 34 + 2

Combine like terms: 34 + 2 = 36
x6 = 36

Simplifying
x6 = 36

Reorder the terms:
-36 + x6 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + x6 = 0

Factor a difference between two squares.
(6 + x3)(-6 + x3) = 0

Subproblem 1

Set the factor '(6 + x3)' equal to zero and attempt to solve: Simplifying 6 + x3 = 0 Solving 6 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x3 = 0 + -6 x3 = 0 + -6 Combine like terms: 0 + -6 = -6 x3 = -6 Simplifying x3 = -6 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 '(-6 + x3)' equal to zero and attempt to solve: Simplifying -6 + x3 = 0 Solving -6 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x3 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x3 = 0 + 6 x3 = 0 + 6 Combine like terms: 0 + 6 = 6 x3 = 6 Simplifying x3 = 6 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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