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

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

Simplifying
b4 + 3b2 + -4 = 0

Reorder the terms:
-4 + 3b2 + b4 = 0

Solving
-4 + 3b2 + b4 = 0

Solving for variable 'b'.

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

Factor a difference between two squares.
(-4 + -1b2)((1 + b)(1 + -1b)) = 0

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

Simplifying
-4 + -1b2 = 0

Solving
-4 + -1b2 = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1b2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1b2 = 0 + 4
-1b2 = 0 + 4

Combine like terms: 0 + 4 = 4
-1b2 = 4

Divide each side by '-1'.
b2 = -4

Simplifying
b2 = -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 '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

Solving
1 + b = 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 + b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + b = 0 + -1
b = 0 + -1

Combine like terms: 0 + -1 = -1
b = -1

Simplifying
b = -1
Subproblem 3
Set the factor '(1 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

Solving
1 + -1b = 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 + -1b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1b = 0 + -1
-1b = 0 + -1

Combine like terms: 0 + -1 = -1
-1b = -1

Divide each side by '-1'.
b = 1

Simplifying
b = 1
Solution
b = {-1, 1}