Solve for all values of xx by factoring.

Question

x, squared, minus, 15, x, plus, 7, equals, minus, 6, x, minus, 1
x
2
−15x+7=
−6x−1

Answer 1

To solve for x by factoring, we want to set the equation equal to 0:

x^2 - 15x + 7 = -6x - 1

Moving everything to one side, we get:

x^2 - 9x + 8 = 0

Now, we can factor the quadratic equation:

(x - 8)(x - 1) = 0

Now, we can set each factor equal to 0 to solve for x:

x - 8 = 0
x = 8

x - 1 = 0
x = 1

Therefore, the solutions for x are x = 8 and x = 1.