Solve the equation using the zero-product property. (3x-6)(5x+3)=0 a. 2, 3/5 b. -2, -3/5 c. 2, -3/5 d. -3, 5

Option (b) is correct.

Using the Zero-Product Property, on the given equation   we get, and  

Step-by-step explanation:

Consider the given equation ,

Zero- product property states that if the product of two term is zero then either first term is zero or second term is zero

That is  

Consider the given equation ,

Applying zero-product property, we get,

this implies that either or

either or

Thus,  using the Zero-Product Property, on the given equation   we get, and  .

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2