Question 95990
2w(4w + 1) = 1
{{{(8w^2+2w)}}}=1 [multiply using the distributive property]
{{{(8w^2+2w-1)}}}=1-1 [set the equation equal to zero]
{{{(8w^2+2w-1)}}}=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