Answer
$s=-\displaystyle \frac{1}{2}$ or $s=3$
Work Step by Step
We solve by factoring:
$2s^{2}=5s+3$
$2s^{2}-5s-3=0$
$(2s+1)(s-3)=0$
$2s+1=0$ or $s-3=0$
So we have: $s=-\displaystyle \frac{1}{2}$ or $s=3$
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