x^12-3x^6+2=0

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Solution for x^12-3x^6+2=0 equation: 


Simplifying
x12 + -3x6 + 2 = 0

Reorder the terms:
2 + -3x6 + x12 = 0

Solving
2 + -3x6 + x12 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x6)(2 + -1x6) = 0

Factor a difference between two squares.
((1 + x3)(1 + -1x3))(2 + -1x6) = 0


Subproblem 1
Set the factor '(2 + -1x6)' equal to zero and attempt to solve:

Simplifying
2 + -1x6 = 0

Solving
2 + -1x6 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x6 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x6 = 0 + -2
-1x6 = 0 + -2

Combine like terms: 0 + -2 = -2
-1x6 = -2

Divide each side by '-1'.
x6 = 2

Simplifying
x6 = 2

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 '(1 + x3)' equal to zero and attempt to solve:

Simplifying
1 + x3 = 0

Solving
1 + x3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x3 = 0 + -1
x3 = 0 + -1

Combine like terms: 0 + -1 = -1
x3 = -1

Simplifying
x3 = -1

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 '(1 + -1x3)' equal to zero and attempt to solve:

Simplifying
1 + -1x3 = 0

Solving
1 + -1x3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x3 = 0 + -1
-1x3 = 0 + -1

Combine like terms: 0 + -1 = -1
-1x3 = -1

Divide each side by '-1'.
x3 = 1

Simplifying
x3 = 1

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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