Explanation

Both of these equations given to us are factored quadratics set equal to zero. That's exactly what you want when solving a quadratic equation. When two things multiply to zero, one or the other must be zero, so you have narrowed it to two possibilities. The first equation tells us that either y = 0 or , in which case . The second equation tells us that either the first factor equals zero, in which case , or the second does, in which case . We are told both statements are true, but there is only one case in which they can both be true, which is that

The correct answer is (D).