Question

How do you solve `2n(3n+3)=0`?

Answer 1

`n=-1 or n=0`

Explanation:

`2n(3n+3)=0` => in factored form use:
Zero Product Property
If `ab=0`, then either `a=0` or `b=0`, or both `a` & `b` are `0`:
therefore:
`2n=0`
`n=0`
Or:
`3n+3=0`
`3n=-3`
`n=-1`

Answer 2

`n=0" or "n=-1`

Explanation:

When we have a `color(blue)"product of factors equal to zero"`

`"That is "axxb=0" then"`

• a = 0 or b = 0 or both a and b equal zero.

`rArr2n(3n+3)=0`

`•"solve "2n=0rArrn=0`

`•"solve "3n+3=0`

subtract 3 from both sides.

`3ncancel(+3)cancel(-3)=0-3`

`rArr3n=-3`

divide both sides by 3

`(cancel(3) n)/cancel(3)=(-3)/3`

`rArrn=-1`

`rArrn=0" or "n=-1" are the solutions"`