Respuesta :

Answer:

x = 7 and x = -1

Step-by-step explanation:

First, we need to factor this quadratic.

To do this, start by finding all the factors of C.

7 x 1, -7 x -1

Now, we need to pick out the factors that add up to the b number, which is 8. That would be 7 and 1.

Now, we can use the numbers 7 and 1 to create two binomials.

( x + 7 ) ( x + 1 ) = 0

The last thing we need to do is to set those binomials to 0 and solve each of them individually.

x + 7 = 0

x = - 7

Solving the first binomial gives us our first solution, -7.

x + 1 = 0

x = -1

Solving the second one gives us our second solution, -1.

The solutions are -7 and -1.

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