The rectangular has an area of 5400 cm^2. What is the value of w?

5400 = (w)(2w - 30)
5400 = 2w^2 - 30 w
5400 = 2w(w - 15)

Now I am stuck. My choices are:
-45 cm
45 cm
60 cm
90 cm

What do I need to do next to get the correct answer? Thanks.

2 answers

Don't factor in 3.
Instead, divide equation 2 by 2.
Set the equation equal to zero.
Factor the expression (......)(......) = 0
If it won't factor, complete the square or use the quadratic formula.
the answer is 60 if you were wondering