Question

Solve the equation using the Zero-Product Property.

Answer 1

Answer:

Option (b) is correct.

Using the Zero-Product Property, on the given equation  $(3x-6)(5x+3)=0$ we get, $x=2$ and  $x=\frac{-3}{5}$

Step-by-step explanation:

Consider the given equation , $(3x-6)(5x+3)=0$

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  $p.q=0 \Rightarrow p=0\ \text{or} \ q=0$

Consider the given equation , $(3x-6)(5x+3)=0$

Applying zero-product property, we get,

$(3x-6)(5x+3)=0$

this implies that either $(3x-6)=0$ or $(5x+3)=0$

either $x=2$ or $x=\frac{-3}{5}$

Thus,  using the Zero-Product Property, on the given equation  $(3x-6)(5x+3)=0$ we get, $x=2$ and  $x=\frac{-3}{5}$.