SOLUTION: Solve each equation. 2w(4w + 1) = 1

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Question 95990: Solve each equation.
2w(4w + 1) = 1
Answer by tutorcecilia(2152) About Me  (Show Source):
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2w(4w + 1) = 1
%288w%5E2%2B2w%29=1 [multiply using the distributive property]
%288w%5E2%2B2w-1%29=1-1 [set the equation equal to zero]
%288w%5E2%2B2w-1%29=0
(4w-1)(2w+1)=0 [factor the polynomial]
.
4w-1=0 [set each factor equal to zero and solve for the w-value]
4w=1
w=1/4
.
2w+1=0
2w=-1
w=-1/2
.
SOLUTIONS: w = 1/4 or -1/2