0=x^4+17x^2+168

Solution for 0=x^4+17x^2+168 equation:

Simplifying
0 = x4 + 17x2 + 168

Reorder the terms:
0 = 168 + 17x2 + x4

Solving
0 = 168 + 17x2 + x4

Solving for variable 'x'.

Combine like terms: 0 + -168 = -168
-168 + -17x2 + -1x4 = 168 + 17x2 + x4 + -168 + -17x2 + -1x4

Reorder the terms:
-168 + -17x2 + -1x4 = 168 + -168 + 17x2 + -17x2 + x4 + -1x4

Combine like terms: 168 + -168 = 0
-168 + -17x2 + -1x4 = 0 + 17x2 + -17x2 + x4 + -1x4
-168 + -17x2 + -1x4 = 17x2 + -17x2 + x4 + -1x4

Combine like terms: 17x2 + -17x2 = 0
-168 + -17x2 + -1x4 = 0 + x4 + -1x4
-168 + -17x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-168 + -17x2 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(168 + 17x2 + x4) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(168 + 17x2 + x4)' equal to zero and attempt to solve:

Simplifying
168 + 17x2 + x4 = 0

Solving
168 + 17x2 + x4 = 0

Begin completing the square.

Move the constant term to the right:

Add '-168' to each side of the equation.
168 + 17x2 + -168 + x4 = 0 + -168

Reorder the terms:
168 + -168 + 17x2 + x4 = 0 + -168

Combine like terms: 168 + -168 = 0
0 + 17x2 + x4 = 0 + -168
17x2 + x4 = 0 + -168

Combine like terms: 0 + -168 = -168
17x2 + x4 = -168

The x term is 17x2.  Take half its coefficient (8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
17x2 + 72.25 + x4 = -168 + 72.25

Reorder the terms:
72.25 + 17x2 + x4 = -168 + 72.25

Combine like terms: -168 + 72.25 = -95.75
72.25 + 17x2 + x4 = -95.75

Factor a perfect square on the left side:
(x2 + 8.5)(x2 + 8.5) = -95.75

Can't calculate square root of the right side.

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.