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Solve the equation using the zero factor property.
2w(4w+1)=1
Simplify the given equation. 
  2w(4w) + 2w(1) = 1
       8w^2 + 2w = 1
   8w^2 + 2w - 1 = 0
Then factor the equation
   (4w - 1)(2w + 1) = 0
    4w - 1 = 0           2w + 1 = 0
        4w = 1               2w = -1
         w = 1/4              w = -1/2
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