# How do you solve x^2-6x-7=0 using the quadratic formula?

Jan 16, 2017

See full solution process below:

#### Explanation:

First, we need to factor the quadratic equation:

$\left(x - 7\right) \left(x + 1\right)$

Now we need to solve each term for $0$:

Solution 1)

$x - 7 = 0$

$x - 7 + 7 = 0 + 7$

$x - 0 = 7$

$x = 7$

Solution 2)

$x + 1 = 0$

$x + 1 - 1 = 0 - 1$

$x + 0 = - 1$

$x = - 1$

The solution is:

$x = 7$ and $x = - 1$