3b^2-b=0

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

Simplifying
3b2 + -1b = 0

Reorder the terms:
-1b + 3b2 = 0

Solving
-1b + 3b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-1 + 3b) = 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 '(-1 + 3b)' equal to zero and attempt to solve:

Simplifying
-1 + 3b = 0

Solving
-1 + 3b = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3b = 0 + 1
3b = 0 + 1

Combine like terms: 0 + 1 = 1
3b = 1

Divide each side by '3'.
b = 0.3333333333

Simplifying
b = 0.3333333333
Solution
b = {0, 0.3333333333}