8b^4+2b^2-3=0

Solution for 8b^4+2b^2-3=0 equation:

Simplifying
8b4 + 2b2 + -3 = 0

Reorder the terms:
-3 + 2b2 + 8b4 = 0

Solving
-3 + 2b2 + 8b4 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3 + -4b2)(1 + -2b2) = 0

Subproblem 1
Set the factor '(-3 + -4b2)' equal to zero and attempt to solve:

Simplifying
-3 + -4b2 = 0

Solving
-3 + -4b2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + -4b2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4b2 = 0 + 3
-4b2 = 0 + 3

Combine like terms: 0 + 3 = 3
-4b2 = 3

Divide each side by '-4'.
b2 = -0.75

Simplifying
b2 = -0.75

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 '(1 + -2b2)' equal to zero and attempt to solve:

Simplifying
1 + -2b2 = 0

Solving
1 + -2b2 = 0

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

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

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

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

Divide each side by '-2'.
b2 = 0.5

Simplifying
b2 = 0.5

Take the square root of each side:
b = {-0.707106781, 0.707106781}
Solution
b = {-0.707106781, 0.707106781}