What are the solutions to the equation below?

(x-4) (8x+64) = 0

A) x=-4 and x=-8

B) x=-4 and x=48

C) x=4 and x=-8

D) x=4 and x=8

So, as you can see, there are actually two equations here:

x - 4 = 0 and 8x+64=0

So, we need to solve both of them to get the solution.

x-4=0

x = 4

8x+64=0

8x=-64

x=-64/8

x=-8

So, the correct answer is C. x=4 and x=-8