Answer
The equation has one solution, $\frac{-1}{3}$.
Work Step by Step
$\frac{5}{2s}+\frac{3}{4}=\frac{9}{4s}$
$\frac{10}{4s}+\frac{3s}{4s}-\frac{9}{4s}=0$
$\frac{3s+10-9}{4s}=0$
$3s+1=0\times4s$
$3s+1=0$
$s=\frac{-1}{3}$
Check: $5/(2\times\frac{-1}{3})+3/4=-27/4;9/(4\times\frac{-1}{3})=-27/4$
The equation has one solution, $\frac{-1}{3}$.
