How do you solve: (2x+1)(x-4)=0

if we're solving for x, we will separate each parenthesis term and equate them to zero.

there are two parenthesis terms in the problem: the (2x+1) and the (x-4). now we equate each to zero, and solve for x.
2x + 1 = 0
2x = -1
x = -1/2 (the first root)

x - 4 = 0
x = 4 (the second root)

hope this helps~ :)