25b^3-9b=0

Solution for 25b^3-9b=0 equation:

Simplifying
25b3 + -9b = 0

Reorder the terms:
-9b + 25b3 = 0

Solving
-9b + 25b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-9 + 25b2) = 0

Factor a difference between two squares.
b((3 + 5b)(-3 + 5b)) = 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 '(3 + 5b)' equal to zero and attempt to solve:

Simplifying
3 + 5b = 0

Solving
3 + 5b = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5b = 0 + -3
5b = 0 + -3

Combine like terms: 0 + -3 = -3
5b = -3

Divide each side by '5'.
b = -0.6

Simplifying
b = -0.6
Subproblem 3
Set the factor '(-3 + 5b)' equal to zero and attempt to solve:

Simplifying
-3 + 5b = 0

Solving
-3 + 5b = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5b = 0 + 3
5b = 0 + 3

Combine like terms: 0 + 3 = 3
5b = 3

Divide each side by '5'.
b = 0.6

Simplifying
b = 0.6
Solution
b = {0, -0.6, 0.6}