Question

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

Answer 1

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