2x^4-14x^2-88=0

Solution for 2x^4-14x^2-88=0 equation:

Simplifying
2x4 + -14x2 + -88 = 0

Reorder the terms:
-88 + -14x2 + 2x4 = 0

Solving
-88 + -14x2 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-44 + -7x2 + x4) = 0

Factor a trinomial.
2((-4 + -1x2)(11 + -1x2)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -1x2)' equal to zero and attempt to solve:

Simplifying
-4 + -1x2 = 0

Solving
-4 + -1x2 = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x2 = 0 + 4
-1x2 = 0 + 4

Combine like terms: 0 + 4 = 4
-1x2 = 4

Divide each side by '-1'.
x2 = -4

Simplifying
x2 = -4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(11 + -1x2)' equal to zero and attempt to solve:

Simplifying
11 + -1x2 = 0

Solving
11 + -1x2 = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x2 = 0 + -11
-1x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-1x2 = -11

Divide each side by '-1'.
x2 = 11

Simplifying
x2 = 11

Take the square root of each side:
x = {-3.31662479, 3.31662479}
Solution
x = {-3.31662479, 3.31662479}