3b^4-10b^2-32=0

Solution for 3b^4-10b^2-32=0 equation:

Simplifying
3b4 + -10b2 + -32 = 0

Reorder the terms:
-32 + -10b2 + 3b4 = 0

Solving
-32 + -10b2 + 3b4 = 0

Solving for variable 'b'.

Factor a trinomial.
(-2 + -1b2)(16 + -3b2) = 0

Subproblem 1
Set the factor '(-2 + -1b2)' equal to zero and attempt to solve:

Simplifying
-2 + -1b2 = 0

Solving
-2 + -1b2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1b2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1b2 = 0 + 2
-1b2 = 0 + 2

Combine like terms: 0 + 2 = 2
-1b2 = 2

Divide each side by '-1'.
b2 = -2

Simplifying
b2 = -2

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 '(16 + -3b2)' equal to zero and attempt to solve:

Simplifying
16 + -3b2 = 0

Solving
16 + -3b2 = 0

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

Add '-16' to each side of the equation.
16 + -16 + -3b2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3b2 = 0 + -16
-3b2 = 0 + -16

Combine like terms: 0 + -16 = -16
-3b2 = -16

Divide each side by '-3'.
b2 = 5.333333333

Simplifying
b2 = 5.333333333

Take the square root of each side:
b = {-2.309401077, 2.309401077}
Solution
b = {-2.309401077, 2.309401077}