20b^2+5b=

Solution for 20b^2+5b= equation:

Simplifying
20b2 + 5b = 0

Reorder the terms:
5b + 20b2 = 0

Solving
5b + 20b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5b'.
5b(1 + 4b) = 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 + 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}