Answer:
x = 4 and x = -5/7
Explanation:
The zero product property states that if ab =0, then a =0 or b = 0 or both a and b equal to zero.
We are given (2x - 8)(7x + 5) = 0
Using the property, we can write it as
(2x - 8) = 0 or (7x + 5) = 0
Now we have to solve for x.
Let's solve the first one.
2x - 8 = 0
Add 8 on both sides, we get
2x - 8 + 8 = 8
2x = 8
Dividing both sides by 2, we get
2x/2 = 8/2
x = 4
Now let's solve the second one.
7x + 5 =0
Subtract 5 on both sides, we get
7x = -5
Dividing both sides by 7, we get
x = -5/7
Therefore, the solutions are x = 4 and x = -5/7