0=(x^4)-(x^2)-30

Solution for 0=(x^4)-(x^2)-30 equation:

Simplifying
0 = (x4) + -1(x2) + -30
0 = x4 + -1(x2) + -30

Reorder the terms:
0 = -30 + -1x2 + x4

Solving
0 = -30 + -1x2 + x4

Solving for variable 'x'.

Combine like terms: 0 + 30 = 30
30 + x2 + -1x4 = -30 + -1x2 + x4 + 30 + x2 + -1x4

Reorder the terms:
30 + x2 + -1x4 = -30 + 30 + -1x2 + x2 + x4 + -1x4

Combine like terms: -30 + 30 = 0
30 + x2 + -1x4 = 0 + -1x2 + x2 + x4 + -1x4
30 + x2 + -1x4 = -1x2 + x2 + x4 + -1x4

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

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

Factor a trinomial.
(6 + -1x2)(5 + x2) = 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 '(5 + x2)' equal to zero and attempt to solve:

Simplifying
5 + x2 = 0

Solving
5 + x2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x2 = 0 + -5
x2 = 0 + -5

Combine like terms: 0 + -5 = -5
x2 = -5

Simplifying
x2 = -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}