b^4-b^2-30=0

Solution for b^4-b^2-30=0 equation:

Simplifying
b4 + -1b2 + -30 = 0

Reorder the terms:
-30 + -1b2 + b4 = 0

Solving
-30 + -1b2 + b4 = 0

Solving for variable 'b'.

Factor a trinomial.
(-5 + -1b2)(6 + -1b2) = 0

Subproblem 1
Set the factor '(-5 + -1b2)' equal to zero and attempt to solve:

Simplifying
-5 + -1b2 = 0

Solving
-5 + -1b2 = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1b2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1b2 = 0 + 5
-1b2 = 0 + 5

Combine like terms: 0 + 5 = 5
-1b2 = 5

Divide each side by '-1'.
b2 = -5

Simplifying
b2 = -5

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 '(6 + -1b2)' equal to zero and attempt to solve:

Simplifying
6 + -1b2 = 0

Solving
6 + -1b2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1b2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1b2 = 0 + -6
-1b2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1b2 = -6

Divide each side by '-1'.
b2 = 6

Simplifying
b2 = 6

Take the square root of each side:
b = {-2.449489743, 2.449489743}
Solution
b = {-2.449489743, 2.449489743}