Answer: w = -4 or w = 3
4w^2 + 4w + 1 = 49 (Move all the terms to one side and set the equation equal to 0)
4w^2 + 4w + 1 - 49 = 0
4w^2 + 4w - 48 = 0 (Factor out the 4)
4(w^2 + w - 12) = 0
4(w^2 + 4w - 3w - 12) = 0 (Factor out common terms)
4[w(w + 4) - 3(w + 4)] = 0 (Group like terms)
4(w + 4)(w - 3) = 0
w + 4 = 0
w = -4
w - 3 = 0
w = 3
∴ w = -4 or w = 3.
