2b^3-50b=0

Solution for 2b^3-50b=0 equation:

Simplifying
2b3 + -50b = 0

Reorder the terms:
-50b + 2b3 = 0

Solving
-50b + 2b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b'.
2b(-25 + b2) = 0

Factor a difference between two squares.
2b((5 + b)(-5 + b)) = 0

Ignore the factor 2.
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 '(5 + b)' equal to zero and attempt to solve:

Simplifying
5 + b = 0

Solving
5 + b = 0

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

Add '-5' to each side of the equation.
5 + -5 + b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + b = 0 + -5
b = 0 + -5

Combine like terms: 0 + -5 = -5
b = -5

Simplifying
b = -5
Subproblem 3
Set the factor '(-5 + b)' equal to zero and attempt to solve:

Simplifying
-5 + b = 0

Solving
-5 + b = 0

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

Add '5' to each side of the equation.
-5 + 5 + b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + b = 0 + 5
b = 0 + 5

Combine like terms: 0 + 5 = 5
b = 5

Simplifying
b = 5
Solution
b = {0, -5, 5}