Answer
$a=-2, b=-5$ and $c=1$
Work Step by Step
Given : $-2x^{2}+1=5x$
Subtracting $5x$ from both sides, we obtain
$-2x^{2}-5x+1=5x-5x$
Or $-2x^{2}-5x+1=0$
Comparing $-2x^{2}-5x+1=0$ with $ax^{2}+bx+c$, we get
$a=-2, b=-5$ and $c=1$