27b^2=3b

Solution for 27b^2=3b equation:

Simplifying
27b2 = 3b

Solving
27b2 = 3b

Solving for variable 'b'.

Reorder the terms:
-3b + 27b2 = 3b + -3b

Combine like terms: 3b + -3b = 0
-3b + 27b2 = 0

Factor out the Greatest Common Factor (GCF), '3b'.
3b(-1 + 9b) = 0

Ignore the factor 3.
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 + 9b)' equal to zero and attempt to solve:

Simplifying
-1 + 9b = 0

Solving
-1 + 9b = 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 + 9b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 9b = 0 + 1
9b = 0 + 1

Combine like terms: 0 + 1 = 1
9b = 1

Divide each side by '9'.
b = 0.1111111111

Simplifying
b = 0.1111111111
Solution
b = {0, 0.1111111111}