SOLUTION: Solve 2w(4w+1)=1

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Question 119795: Solve 2w(4w+1)=1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2w%284w%2B1%29=1 Start with the given equation


8w%5E2%2B2w=1 Distribute


8w%5E2%2B2w-1=0 Subtract 1 from both sides



8w%5E2%2B2w-1=0 Start with the given equation

%282w%2B1%29%284w-1%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
2w%2B1=0 or 4w-1=0

w=-1%2F2 or w=1%2F4 Now solve for w in each case


So our answer is
w=-1%2F2 or w=1%2F4