0=x^4-2x^2+3

Solution for 0=x^4-2x^2+3 equation:

Simplifying
0 = x4 + -2x2 + 3

Reorder the terms:
0 = 3 + -2x2 + x4

Solving
0 = 3 + -2x2 + x4

Solving for variable 'x'.

Combine like terms: 0 + -3 = -3
-3 + 2x2 + -1x4 = 3 + -2x2 + x4 + -3 + 2x2 + -1x4

Reorder the terms:
-3 + 2x2 + -1x4 = 3 + -3 + -2x2 + 2x2 + x4 + -1x4

Combine like terms: 3 + -3 = 0
-3 + 2x2 + -1x4 = 0 + -2x2 + 2x2 + x4 + -1x4
-3 + 2x2 + -1x4 = -2x2 + 2x2 + x4 + -1x4

Combine like terms: -2x2 + 2x2 = 0
-3 + 2x2 + -1x4 = 0 + x4 + -1x4
-3 + 2x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-3 + 2x2 + -1x4 = 0

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

Divide each side by '-1'.
3 + -2x2 + x4 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2x2 + -3 + x4 = 0 + -3

Reorder the terms:
3 + -3 + -2x2 + x4 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x2 + x4 = 0 + -3
-2x2 + x4 = 0 + -3

Combine like terms: 0 + -3 = -3
-2x2 + x4 = -3

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 = -3 + 1

Reorder the terms:
1 + -2x2 + x4 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + -2x2 + x4 = -2

Factor a perfect square on the left side:
(x2 + -1)(x2 + -1) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.