2W+3W= W

W+1 W-1

Getting rid of the fractions would be a first step. You do that by multiplying everything by a common denominator. The common denominator for w + 1 and w - 1 is simply their product, (w + 1)(w - 1):

What happens now? When you multiply (w + 1)(w - 1) by the first fraction the w + 1 cancels out, and you're left with 2w(w - 1). Likewise, when you multiply (w + 1)(w - 1) by the second fraction the w - 1 cancels out, and you're left with 3w(w + 1).

As for the right side, you'll have to multiply it out. (w + 1)(w - 1) is a special product; it equals . Then distribute the w over the :

Let's use the distributive property on the left side and start combining like terms:

Factor out a w:

The quadratic is not factorable. Set each factor equal to zero. First you have w = 0. Then, for the quadratic, use the quadratic formula:

So there are three answers