b(5b-3)=0

Solution for b(5b-3)=0 equation:

Simplifying
b(5b + -3) = 0

Reorder the terms:
b(-3 + 5b) = 0
(-3 * b + 5b * b) = 0
(-3b + 5b2) = 0

Solving
-3b + 5b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-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
Solution
b = {0, 0.6}