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

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

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

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

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

Solving for variable 'x'.

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

Divide each side by '-2'.
-1 + 0.5x2 + x4 = 0

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + 0.5x2 + 1 + x4 = 0 + 1

Reorder the terms:
-1 + 1 + 0.5x2 + x4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 0.5x2 + x4 = 0 + 1
0.5x2 + x4 = 0 + 1

Combine like terms: 0 + 1 = 1
0.5x2 + x4 = 1

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 + 0.0625

Reorder the terms:
0.0625 + 0.5x2 + x4 = 1 + 0.0625

Combine like terms: 1 + 0.0625 = 1.0625
0.0625 + 0.5x2 + x4 = 1.0625

Factor a perfect square on the left side:
(x2 + 0.25)(x2 + 0.25) = 1.0625

Calculate the square root of the right side: 1.030776406

Break this problem into two subproblems by setting 
(x2 + 0.25) equal to 1.030776406 and -1.030776406.

Subproblem 1
x2 + 0.25 = 1.030776406

Simplifying
x2 + 0.25 = 1.030776406

Reorder the terms:
0.25 + x2 = 1.030776406

Solving
0.25 + x2 = 1.030776406

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.25' to each side of the equation.
0.25 + -0.25 + x2 = 1.030776406 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + x2 = 1.030776406 + -0.25
x2 = 1.030776406 + -0.25

Combine like terms: 1.030776406 + -0.25 = 0.780776406
x2 = 0.780776406

Simplifying
x2 = 0.780776406

Take the square root of each side:
x = {-0.883615531, 0.883615531}

Subproblem 2
x2 + 0.25 = -1.030776406

Simplifying
x2 + 0.25 = -1.030776406

Reorder the terms:
0.25 + x2 = -1.030776406

Solving
0.25 + x2 = -1.030776406

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.25' to each side of the equation.
0.25 + -0.25 + x2 = -1.030776406 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + x2 = -1.030776406 + -0.25
x2 = -1.030776406 + -0.25

Combine like terms: -1.030776406 + -0.25 = -1.280776406
x2 = -1.280776406

Simplifying
x2 = -1.280776406

Reorder the terms:
1.280776406 + x2 = -1.280776406 + 1.280776406

Combine like terms: -1.280776406 + 1.280776406 = 0.000000000
1.280776406 + x2 = 0.000000000

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.