Question

How do you solve `x(x + 9) = 0`?

Answer 1

`x = 0`
`x = -9`

Explanation:

`x(x+9) = 0` is the same as `(x+0)(x+9) = 0`.
So, we know that `x + 0 = 0` and that `x + 9 = 0`.
So, we solve both for `x`, and we get `x = 0` and `x = -9`.

Hope it Helps! :D .

Answer 2

Find out when the factors are equal to zero

Explanation:

So what we have here is a equation with two factors; `x` and `(x+9)`.

To make the expression `x(x+9) = 0`, at least one of the factors has to be 0. This means that either:

`x = 0`

or

`x + 9 = 0 to x = -9`

Answer 3

`x=0` or `x=-9`.

Explanation:

A product of real numbers is zero if and only if one of the two factors is zero. In your case, the two factors are `x` and `x+9`.

So, one possible case is that the product is zero because `x` is zero.

A second case is that `x+9=0`. To solve this equation, simply subtract nine by both terms:

`x cancel(+9)cancel(-9)=0-9`, and thus `x=-9`

So, the two values `x=0` and `x=-9` annihilate one of the factors each, and so the annihilate the whole product.