4b(5b-4)=0

Solution for 4b(5b-4)=0 equation:

Simplifying
4b(5b + -4) = 0

Reorder the terms:
4b(-4 + 5b) = 0
(-4 * 4b + 5b * 4b) = 0
(-16b + 20b2) = 0

Solving
-16b + 20b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b'.
4b(-4 + 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 '(-4 + 5b)' equal to zero and attempt to solve:

Simplifying
-4 + 5b = 0

Solving
-4 + 5b = 0

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

Add '4' to each side of the equation.
-4 + 4 + 5b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5b = 0 + 4
5b = 0 + 4

Combine like terms: 0 + 4 = 4
5b = 4

Divide each side by '5'.
b = 0.8

Simplifying
b = 0.8
Solution
b = {0, 0.8}