6b^2=b

Solution for 6b^2=b equation:

Simplifying
6b2 = b

Solving
6b2 = b

Solving for variable 'b'.

Reorder the terms:
-1b + 6b2 = b + -1b

Combine like terms: b + -1b = 0
-1b + 6b2 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(-1 + 6b) = 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 + 6b)' equal to zero and attempt to solve:

Simplifying
-1 + 6b = 0

Solving
-1 + 6b = 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 + 6b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6b = 0 + 1
6b = 0 + 1

Combine like terms: 0 + 1 = 1
6b = 1

Divide each side by '6'.
b = 0.1666666667

Simplifying
b = 0.1666666667
Solution
b = {0, 0.1666666667}