X^6-x^6=0

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Solution for X^6-x^6=0 equation:


Simplifying
X6 + -1x6 = 0

Solving
X6 + -1x6 = 0

Solving for variable 'X'.

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

Add 'x6' to each side of the equation.
X6 + -1x6 + x6 = 0 + x6

Combine like terms: -1x6 + x6 = 0
X6 + 0 = 0 + x6
X6 = 0 + x6
Remove the zero:
X6 = x6

Simplifying
X6 = x6

Combine like terms: x6 + -1x6 = 0
X6 + -1x6 = 0

Factor a difference between two squares.
(X3 + x3)(X3 + -1x3) = 0

Subproblem 1

Set the factor '(X3 + x3)' equal to zero and attempt to solve: Simplifying X3 + x3 = 0 Solving X3 + x3 = 0 Move all terms containing X to the left, all other terms to the right. Add '-1x3' to each side of the equation. X3 + x3 + -1x3 = 0 + -1x3 Combine like terms: x3 + -1x3 = 0 X3 + 0 = 0 + -1x3 X3 = 0 + -1x3 Remove the zero: X3 = -1x3 Simplifying X3 = -1x3 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 '(X3 + -1x3)' equal to zero and attempt to solve: Simplifying X3 + -1x3 = 0 Solving X3 + -1x3 = 0 Move all terms containing X to the left, all other terms to the right. Add 'x3' to each side of the equation. X3 + -1x3 + x3 = 0 + x3 Combine like terms: -1x3 + x3 = 0 X3 + 0 = 0 + x3 X3 = 0 + x3 Remove the zero: X3 = x3 Simplifying X3 = x3 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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