3x^6-27=0

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Solution for 3x^6-27=0 equation:


Simplifying
3x6 + -27 = 0

Reorder the terms:
-27 + 3x6 = 0

Solving
-27 + 3x6 = 0

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 3x6 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 3x6 = 0 + 27
3x6 = 0 + 27

Combine like terms: 0 + 27 = 27
3x6 = 27

Divide each side by '3'.
x6 = 9

Simplifying
x6 = 9

Reorder the terms:
-9 + x6 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + x6 = 0

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

Subproblem 1

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 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. The solution to this equation could not be determined.

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