Answer
$\{x|x\ne-\frac{3}{2},5\}$
Work Step by Step
In this rational expression, the solution to the denominator cannot be zero. Solve the denominator for x by setting each factor to 0. These answers are restricted from the domain.
$(2x+3)(x-5)=0$
$x=-\frac{3}{2}$ or $x=5$
Put the domain in set builder notation.
$\{x|x\ne-\frac{3}{2},5\}$
