20b^2-8b=4b

Solution for 20b^2-8b=4b equation:

Simplifying
20b2 + -8b = 4b

Reorder the terms:
-8b + 20b2 = 4b

Solving
-8b + 20b2 = 4b

Solving for variable 'b'.

Reorder the terms:
-8b + -4b + 20b2 = 4b + -4b

Combine like terms: -8b + -4b = -12b
-12b + 20b2 = 4b + -4b

Combine like terms: 4b + -4b = 0
-12b + 20b2 = 0

Factor out the Greatest Common Factor (GCF), '4b'.
4b(-3 + 5b) = 0

Ignore the factor 4.
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 '(-3 + 5b)' equal to zero and attempt to solve:

Simplifying
-3 + 5b = 0

Solving
-3 + 5b = 0

Move all terms containing b to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + 5b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5b = 0 + 3
5b = 0 + 3

Combine like terms: 0 + 3 = 3
5b = 3

Divide each side by '5'.
b = 0.6

Simplifying
b = 0.6
Solution
b = {0, 0.6}