The length of a rectangle is 4 less than twice the width. the area of the rectangle is 70 square feet. find the width, w, of the rectangle algebraically. explain why one of the solutions for w is not viable.

Area = Length * Width
Length = 2w - 4
Width = w

70 = (2w - 4)w
70 = 2w² - 4w
2w² - 4w - 70 = 0
2(w² - 2w - 35) = 0
2(w + 5) (w - 7) = 0
w + 5 = 0       ;  w -7 = 0
      w = -5      ;       w = 7

w = -5 is not viable because no length of measurement is negative.