The equation 4x^2-4x=24 is rewritten in the form of 4 (x-p) (x-q) = 0. What is the value of p+q?

A: - 1

B: 4

C: 1

D: 5

C: 1

Step-by-step explanation:

4x^2-4x=24

Subtract 24 from each side

4x^2 - 4x - 24 = 24-24

4x^2 - 4x-24 = 0

Factor out a 4 from each side

4 (x^2 - x - 6) = 0

What 2 numbers multiply to - 6 and add to - 1

-3*2 = - 6

-3 + 2 = -1

4 (x-3) (x+2) = 0

4 (x-3) (x - - 2) = 0

p=3 q = -2

p+q

3-2

1