b^3-121b=

Solution for b^3-121b= equation:

Simplifying
b3 + -121b = 0

Reorder the terms:
-121b + b3 = 0

Solving
-121b + b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-121 + b2) = 0

Factor a difference between two squares.
b((11 + b)(-11 + 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 '(11 + b)' equal to zero and attempt to solve:

Simplifying
11 + b = 0

Solving
11 + b = 0

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

Add '-11' to each side of the equation.
11 + -11 + b = 0 + -11

Combine like terms: 11 + -11 = 0
0 + b = 0 + -11
b = 0 + -11

Combine like terms: 0 + -11 = -11
b = -11

Simplifying
b = -11
Subproblem 3
Set the factor '(-11 + b)' equal to zero and attempt to solve:

Simplifying
-11 + b = 0

Solving
-11 + b = 0

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

Add '11' to each side of the equation.
-11 + 11 + b = 0 + 11

Combine like terms: -11 + 11 = 0
0 + b = 0 + 11
b = 0 + 11

Combine like terms: 0 + 11 = 11
b = 11

Simplifying
b = 11
Solution
b = {0, -11, 11}