algebra
posted by Taylor .
2/w+ 4/w1 = 10/w(w1)
2(w1)/w(w1) + 4w/w(w1)=10/w(w1)
2w2/w(w1 +/4w/w(w1= 10(w1)/w(w1)
2w2+4w=10w10
2w+4w10w=102
6w10w=102
4w=8
w=2

w=2 satisfies the original equation, so I guess your solution is correct.
However, the steps should be
2(w1)/2(w1) + 4w/w(w1) = 10/w(w1)
2w2 + 4w = 10
6w = 12
w = 2