8b^2=2b

Solution for 8b^2=2b equation:

Simplifying
8b2 = 2b

Solving
8b2 = 2b

Solving for variable 'b'.

Reorder the terms:
-2b + 8b2 = 2b + -2b

Combine like terms: 2b + -2b = 0
-2b + 8b2 = 0

Factor out the Greatest Common Factor (GCF), '2b'.
2b(-1 + 4b) = 0

Ignore the factor 2.
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 + 4b)' equal to zero and attempt to solve:

Simplifying
-1 + 4b = 0

Solving
-1 + 4b = 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 + 4b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4b = 0 + 1
4b = 0 + 1

Combine like terms: 0 + 1 = 1
4b = 1

Divide each side by '4'.
b = 0.25

Simplifying
b = 0.25
Solution
b = {0, 0.25}