40b^2=5b

Solution for 40b^2=5b equation:

Simplifying
40b2 = 5b

Solving
40b2 = 5b

Solving for variable 'b'.

Reorder the terms:
-5b + 40b2 = 5b + -5b

Combine like terms: 5b + -5b = 0
-5b + 40b2 = 0

Factor out the Greatest Common Factor (GCF), '5b'.
5b(-1 + 8b) = 0

Ignore the factor 5.
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 + 8b)' equal to zero and attempt to solve:

Simplifying
-1 + 8b = 0

Solving
-1 + 8b = 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 + 8b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8b = 0 + 1
8b = 0 + 1

Combine like terms: 0 + 1 = 1
8b = 1

Divide each side by '8'.
b = 0.125

Simplifying
b = 0.125
Solution
b = {0, 0.125}