The denominator factors into two linear terms: Thus
To solve for and first multiply through by
by collecting like terms.
The next step is key. Note the equality we have:
For clarity’s sake, rewrite the left hand side as
On the left, the coefficient of the term is 0; on the right, it is Since both sides are equal, we must have that
Likewise, on the left, we have a constant term of 1; on the right, the constant term is Therefore we have
We have two linear equations with two unknowns. This one is easy to solve by hand, leading to
If we add these two equations, we get Substitution into the first equation gives