Question 119795
{{{2w(4w+1)=1}}} Start with the given equation



{{{8w^2+2w=1}}} Distribute



{{{8w^2+2w-1=0}}} Subtract 1 from both sides




{{{8w^2+2w-1=0}}} Start with the given equation


{{{(2w+1)(4w-1)=0}}} Factor the left side (note: if you need help with factoring, check out this <a href=http://www.algebra.com/algebra/homework/playground/change-this-name4450.solver>solver</a>)




Now set each factor equal to zero:

{{{2w+1=0}}} or  {{{4w-1=0}}} 


{{{w=-1/2}}} or  {{{w=1/4}}}    Now solve for w in each case



So our answer is 

 {{{w=-1/2}}} or  {{{w=1/4}}}