0=2x^4-11x^2-6

Solution for 0=2x^4-11x^2-6 equation:

Simplifying
0 = 2x4 + -11x2 + -6

Reorder the terms:
0 = -6 + -11x2 + 2x4

Solving
0 = -6 + -11x2 + 2x4

Solving for variable 'x'.

Combine like terms: 0 + 6 = 6
6 + 11x2 + -2x4 = -6 + -11x2 + 2x4 + 6 + 11x2 + -2x4

Reorder the terms:
6 + 11x2 + -2x4 = -6 + 6 + -11x2 + 11x2 + 2x4 + -2x4

Combine like terms: -6 + 6 = 0
6 + 11x2 + -2x4 = 0 + -11x2 + 11x2 + 2x4 + -2x4
6 + 11x2 + -2x4 = -11x2 + 11x2 + 2x4 + -2x4

Combine like terms: -11x2 + 11x2 = 0
6 + 11x2 + -2x4 = 0 + 2x4 + -2x4
6 + 11x2 + -2x4 = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
6 + 11x2 + -2x4 = 0

Factor a trinomial.
(6 + -1x2)(1 + 2x2) = 0

Subproblem 1
Set the factor '(6 + -1x2)' equal to zero and attempt to solve:

Simplifying
6 + -1x2 = 0

Solving
6 + -1x2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x2 = 0 + -6

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

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

Divide each side by '-1'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}
Subproblem 2
Set the factor '(1 + 2x2)' equal to zero and attempt to solve:

Simplifying
1 + 2x2 = 0

Solving
1 + 2x2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x2 = 0 + -1

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

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

Divide each side by '2'.
x2 = -0.5

Simplifying
x2 = -0.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {-2.449489743, 2.449489743}