x^12-81=

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Solution for x^12-81= equation:


Simplifying
x12 + -81 = 0

Reorder the terms:
-81 + x12 = 0

Solving
-81 + x12 = 0

Solving for variable 'x'.

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

Add '81' to each side of the equation.
-81 + 81 + x12 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + x12 = 0 + 81
x12 = 0 + 81

Combine like terms: 0 + 81 = 81
x12 = 81

Simplifying
x12 = 81

Reorder the terms:
-81 + x12 = 81 + -81

Combine like terms: 81 + -81 = 0
-81 + x12 = 0

Factor a difference between two squares.
(9 + x6)(-9 + x6) = 0

Factor a difference between two squares.
(9 + x6)((3 + x3)(-3 + x3)) = 0

Subproblem 1

Set the factor '(9 + x6)' equal to zero and attempt to solve: Simplifying 9 + x6 = 0 Solving 9 + x6 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x6 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x6 = 0 + -9 x6 = 0 + -9 Combine like terms: 0 + -9 = -9 x6 = -9 Simplifying x6 = -9 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 '(3 + x3)' equal to zero and attempt to solve: Simplifying 3 + x3 = 0 Solving 3 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x3 = 0 + -3 x3 = 0 + -3 Combine like terms: 0 + -3 = -3 x3 = -3 Simplifying x3 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(-3 + x3)' equal to zero and attempt to solve: Simplifying -3 + x3 = 0 Solving -3 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x3 = 0 + 3 x3 = 0 + 3 Combine like terms: 0 + 3 = 3 x3 = 3 Simplifying x3 = 3 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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