4x^4-2x^2+8=2

Solution for 4x^4-2x^2+8=2 equation:

Simplifying
4x4 + -2x2 + 8 = 2

Reorder the terms:
8 + -2x2 + 4x4 = 2

Solving
8 + -2x2 + 4x4 = 2

Solving for variable 'x'.

Reorder the terms:
8 + -2 + -2x2 + 4x4 = 2 + -2

Combine like terms: 8 + -2 = 6
6 + -2x2 + 4x4 = 2 + -2

Combine like terms: 2 + -2 = 0
6 + -2x2 + 4x4 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -1x2 + 2x4) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -1x2 + 2x4)' equal to zero and attempt to solve:

Simplifying
3 + -1x2 + 2x4 = 0

Solving
3 + -1x2 + 2x4 = 0

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

Divide each side by '2'.
1.5 + -0.5x2 + x4 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.5x2 + -1.5 + x4 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.5x2 + x4 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.5x2 + x4 = 0 + -1.5
-0.5x2 + x4 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.5x2 + x4 = -1.5

The x term is -0.5x2.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x2 + 0.0625 + x4 = -1.5 + 0.0625

Reorder the terms:
0.0625 + -0.5x2 + x4 = -1.5 + 0.0625

Combine like terms: -1.5 + 0.0625 = -1.4375
0.0625 + -0.5x2 + x4 = -1.4375

Factor a perfect square on the left side:
(x2 + -0.25)(x2 + -0.25) = -1.4375

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.