Solve each equation by using the zero product property
(b-4)(3b-1)=0

Step-by-step explanation:

(b - 4)(3b - 1) is the factored form of some second degree polynomial.  Once you factor to this point, you can solve for the values of b using the Zero Product Property, which says that one of the those factors has to equal 0 for the product to equal 0 (cuz any number times 0 is equal to 0).  The first expression is b - 4.  If we set b - 4 equal to 0, we can solve for b:

b - 4 = 0 so

b = 4

Likewise with the second factor, 3b - 1.  Set it equal to 0 and solve for b:

3b - 1 = 0 and

3b = 1 so

b = 1/3

d no solution

step-by-step explanation: