Question

Find the solution set. (x+7)(x+7)=0

Answer 1

x = -7, multiplicity 2.

Writing it as a set it is {-7, -7}.

Explanation:

(x + 7)(x + 7 )= 0

When 2 expressions are multiplied and the result is zero either of them can be zero, so

x + 7 = 0

x = -7.

In this case, since the 2 factors are the same, there are duplicate roots.

We write this as x = -7, multiplicity 2.

Answer 2

For this case we must find the solution of the following expression:

`(x + 7) (x + 7) = 0`

If we isolate a term and we equate to zero, we have:

`x + 7 = 0`

Subtracting 7 on both sides of the equation we have:

`x + 7-7 = 0-7\\x = -7`

Thus, the solution of the expression is given by:

`x = -7`

ANswer:

`x = -7`