How do you solve 4/(w+4)=-7?

2 Answers
Mar 25, 2018

w=-32/7

Explanation:

Our equation is essentially (4)/(w+4)=-7/1, thus we can cross-multiply to solve for w. We get:

-7(w+4)=4

Distributing the -7, we get:

-7w-28=4

Adding 28 to both sides, we get:

-7w=32

Dividing both sides by -7, we get:

w=-32/7

Mar 25, 2018

w=-32/7

Explanation:

Start by multiplying each side of the equation by (w+4)

4/cancel(w+4)*cancel((w+4))=-7(w+4)

Expand the parentheses:

4=-7w-28

Add 7w and subtract 4 from each side:

cancel4+7w-cancel4=-cancel(7w)-28+cancel(7w)-4

7w=-32

Divide both sides by 7:

(7w)/7=(-32)/7

w=-32/7