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

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

Simplifying
x6 + 2x3 + 2 = 0

Reorder the terms:
2 + 2x3 + x6 = 0

Solving
2 + 2x3 + x6 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 2x3 + -2 + x6 = 0 + -2

Reorder the terms:
2 + -2 + 2x3 + x6 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2x3 + x6 = 0 + -2
2x3 + x6 = 0 + -2

Combine like terms: 0 + -2 = -2
2x3 + x6 = -2

The x term is 2x3.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x3 + 1 + x6 = -2 + 1

Reorder the terms:
1 + 2x3 + x6 = -2 + 1

Combine like terms: -2 + 1 = -1
1 + 2x3 + x6 = -1

Factor a perfect square on the left side:
(x3 + 1)(x3 + 1) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.