-b^4+5b^2+36=0

Solution for -b^4+5b^2+36=0 equation:

Simplifying
-1b4 + 5b2 + 36 = 0

Reorder the terms:
36 + 5b2 + -1b4 = 0

Solving
36 + 5b2 + -1b4 = 0

Solving for variable 'b'.

Factor a trinomial.
(9 + -1b2)(4 + b2) = 0

Factor a difference between two squares.
((3 + b)(3 + -1b))(4 + b2) = 0

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

Simplifying
4 + b2 = 0

Solving
4 + b2 = 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 + b2 = 0 + -4

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

Combine like terms: 0 + -4 = -4
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 '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

Solving
3 + b = 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 + b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + b = 0 + -3
b = 0 + -3

Combine like terms: 0 + -3 = -3
b = -3

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

Simplifying
3 + -1b = 0

Solving
3 + -1b = 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 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Solution
b = {-3, 3}