5b^3-3b=0

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

Simplifying
5b3 + -3b = 0

Reorder the terms:
-3b + 5b3 = 0

Solving
-3b + 5b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-3 + 5b2) = 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 + 5b2)' equal to zero and attempt to solve:

Simplifying
-3 + 5b2 = 0

Solving
-3 + 5b2 = 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 + 5b2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5b2 = 0 + 3
5b2 = 0 + 3

Combine like terms: 0 + 3 = 3
5b2 = 3

Divide each side by '5'.
b2 = 0.6

Simplifying
b2 = 0.6

Take the square root of each side:
b = {-0.774596669, 0.774596669}
Solution
b = {0, -0.774596669, 0.774596669}