Question

Solve the equation using the Zero-Product Property.

(5x-5)(2x+8)=0

a. 1, -4
b. -5, 2
c. -1, 4
d. 1, 4

Answer 1

Answer: The answer is (a) 1,-4.

Step-by-step explanation: Given equation to be solved is

`(5x-5)(2x+8)=0.`

We are told to solve this equation using Zero-Product Property, which is defined as follows

If the product of two expressions or variables is zero, then either one of them is zero or both of them are zero.

i.e., If a × b = 0, then a = 0 or b = 0 or both a = b = 0.

Therefore, given equation can be solved as

`(5x-5)(2x+8)=0\\\\\Rightarrow 5x-5=0~~\textup{or}~~2x+8=0\\\\\Rightarrow x=1~~\textup{or}~~x=-4.`

Thus, the correct option is (a) 1,-4.