-b^3+5b^3+24b=0

Solution for -b^3+5b^3+24b=0 equation:

Simplifying
-1b3 + 5b3 + 24b = 0

Reorder the terms:
24b + -1b3 + 5b3 = 0

Combine like terms: -1b3 + 5b3 = 4b3
24b + 4b3 = 0

Solving
24b + 4b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b'.
4b(6 + b2) = 0

Ignore the factor 4.
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 + b2)' equal to zero and attempt to solve:

Simplifying
6 + b2 = 0

Solving
6 + b2 = 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 + b2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + b2 = 0 + -6
b2 = 0 + -6

Combine like terms: 0 + -6 = -6
b2 = -6

Simplifying
b2 = -6

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
b = {0}