-x^4+2*x^2-2=0

Solution for -x^4+2*x^2-2=0 equation:

Simplifying
-1x4 + 2x2 + -2 = 0

Reorder the terms:
-2 + 2x2 + -1x4 = 0

Solving
-2 + 2x2 + -1x4 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
2 + -2x2 + x4 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2x2 + -2 + x4 = 0 + -2

Reorder the terms:
2 + -2 + -2x2 + x4 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2x2 + x4 = 0 + -2
-2x2 + x4 = 0 + -2

Combine like terms: 0 + -2 = -2
-2x2 + x4 = -2

The x term is -2x2.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x2 + 1 + x4 = -2 + 1

Reorder the terms:
1 + -2x2 + x4 = -2 + 1

Combine like terms: -2 + 1 = -1
1 + -2x2 + x4 = -1

Factor a perfect square on the left side:
(x2 + -1)(x2 + -1) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.