0=x^4-6x^2+16

Solution for 0=x^4-6x^2+16 equation:

Simplifying
0 = x4 + -6x2 + 16

Reorder the terms:
0 = 16 + -6x2 + x4

Solving
0 = 16 + -6x2 + x4

Solving for variable 'x'.

Combine like terms: 0 + -16 = -16
-16 + 6x2 + -1x4 = 16 + -6x2 + x4 + -16 + 6x2 + -1x4

Reorder the terms:
-16 + 6x2 + -1x4 = 16 + -16 + -6x2 + 6x2 + x4 + -1x4

Combine like terms: 16 + -16 = 0
-16 + 6x2 + -1x4 = 0 + -6x2 + 6x2 + x4 + -1x4
-16 + 6x2 + -1x4 = -6x2 + 6x2 + x4 + -1x4

Combine like terms: -6x2 + 6x2 = 0
-16 + 6x2 + -1x4 = 0 + x4 + -1x4
-16 + 6x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-16 + 6x2 + -1x4 = 0

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

Divide each side by '-1'.
16 + -6x2 + x4 = 0

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -6x2 + -16 + x4 = 0 + -16

Reorder the terms:
16 + -16 + -6x2 + x4 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -6x2 + x4 = 0 + -16
-6x2 + x4 = 0 + -16

Combine like terms: 0 + -16 = -16
-6x2 + x4 = -16

The x term is -6x2.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x2 + 9 + x4 = -16 + 9

Reorder the terms:
9 + -6x2 + x4 = -16 + 9

Combine like terms: -16 + 9 = -7
9 + -6x2 + x4 = -7

Factor a perfect square on the left side:
(x2 + -3)(x2 + -3) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.