4. Solve for x and check.    Again we have a rational equation.
We first clear denominators. The smallest common denominator in
this case is 4(2x - 3) Multiply both sides by the common
denominator.    After cancelling we get    and we see that, in
this case, clearing denominators amounts to cross multiplying.
Remove parentheses    and we see that we have a quadratic
equation. Transpose all terms to one side leaving a 0 on the
other.    Unfortunately, as the reader can verify, this does not
factor, so we need to use another method such as completing the
square or the quadratic formula. Let's use the quadratic
formula.    Simplify. Under the radical we will do the power and
the product before we subtract.       Check: There are two
answers to check here: one is obtained by adding the radical and
the other is obtained by subtracting the radical. We can check
them both at the same time. Copy down the original equation,
except that wherever there is an x, copy down the solution in
parentheses.    This gives us