-b^4+100b^2-2304=0

Solution for -b^4+100b^2-2304=0 equation:

Simplifying
-1b4 + 100b2 + -2304 = 0

Reorder the terms:
-2304 + 100b2 + -1b4 = 0

Solving
-2304 + 100b2 + -1b4 = 0

Solving for variable 'b'.

Factor a trinomial.
(-64 + b2)(36 + -1b2) = 0

Factor a difference between two squares.
((8 + b)(-8 + b))(36 + -1b2) = 0

Factor a difference between two squares.
((6 + b)(6 + -1b))(8 + b)(-8 + b) = 0

Subproblem 1
Set the factor '(8 + b)' equal to zero and attempt to solve:

Simplifying
8 + b = 0

Solving
8 + b = 0

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

Add '-8' to each side of the equation.
8 + -8 + b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + b = 0 + -8
b = 0 + -8

Combine like terms: 0 + -8 = -8
b = -8

Simplifying
b = -8
Subproblem 2
Set the factor '(-8 + b)' equal to zero and attempt to solve:

Simplifying
-8 + b = 0

Solving
-8 + b = 0

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

Add '8' to each side of the equation.
-8 + 8 + b = 0 + 8

Combine like terms: -8 + 8 = 0
0 + b = 0 + 8
b = 0 + 8

Combine like terms: 0 + 8 = 8
b = 8

Simplifying
b = 8
Subproblem 3
Set the factor '(6 + b)' equal to zero and attempt to solve:

Simplifying
6 + b = 0

Solving
6 + b = 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 + b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + b = 0 + -6
b = 0 + -6

Combine like terms: 0 + -6 = -6
b = -6

Simplifying
b = -6
Subproblem 4
Set the factor '(6 + -1b)' equal to zero and attempt to solve:

Simplifying
6 + -1b = 0

Solving
6 + -1b = 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 + -1b = 0 + -6

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

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

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

Simplifying
b = 6
Solution
b = {-8, 8, -6, 6}