-40b+b^3+4b=0

Solution for -40b+b^3+4b=0 equation:

Simplifying
-40b + b3 + 4b = 0

Reorder the terms:
-40b + 4b + b3 = 0

Combine like terms: -40b + 4b = -36b
-36b + b3 = 0

Solving
-36b + b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-36 + b2) = 0

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

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
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 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
Solution
b = {0, -6, 6}