How do you solve (2x+1)(x4)=7?

1 Answer
May 26, 2015

Given (2x+1)(x4)=7

Multiply the two terms on the left side
(for demonstration purposes I used the distributive property, but there are several ways to do this)
2x(x4)+1(x4)=7

2x28x+x4=7

2x27x4=7

Rearrange all non-zero terms to the left-side
2x27x+3=0

Factor the left side
(2x1)(x3)=0

State the solutions:
x=12 or x=3