To begin, we must determine which type of factoring we can use to solve the given polynomial equation. Notice that there is no common factor amongst all four terms.
The first three terms all have an
in common, while the last three terms have a
in common. Thus, we must factor by grouping the first two terms and the last two terms. In the first pair, the is
and in the second it is
Now, both terms have the factor
which can be factored out.
Using the , we can separate this equation into two new equations, that can be solved individually.
Thus, the original equation has three solutions: