Question

Solving equations using Zero-Product property

Please Help! and i need an explanation... i just don't understand and my teacher didn't explain
2y(-8y+7)=0

Answer 1

see explanation

Explanation:

The zero product property applies to the product of factors equal to zero

For example

a × b = 0

Since the product of the 2 numbers is zero , then one of the numbers must be zero, that is

a = 0 or b = 0

This can be applied to the product

2y(- 8y + 7) = 0

The 2 values being multiplied are 2y and (- 8y + 7)

Thus one or the other must equal zero, so solve both

2y = 0 ⇒ y = 0, or

- 8y + 7 = 0 ⇒ - 8y = - 7 ⇒ y =
`(-7)/(-8)` =
`(7)/(8)`

Answer 2

Answer:if y=0

Step-by-step explanation: view y as 0, so you have 2*0*(-8+0+7)=0

every number multiplied by 0 is 0 so 2*0 is 0 then in the brackets you will have -1. So the final line is 0*-1=0 like I said every number multiplied for 0 is 0 the equation is true for y=0