Question

Which property tells you that if 2x(x-50)=0, then the solutions are going to be x=0 and x=50

Answer 1

Zero Product Property

Explanation:

According to the zero product property,

If
`A* B=0`, then either;

`A=0`

Or

`B=0`

So that the product;

`0* B=0` or
`A* 0=0` holds.

So if we have

`2x(x-50)=0`

Then we can apply the zero product principle, to obtain

`2x=0,x-50=0`

`\Rightarrow x=0,x=50`