Answer
$a=-4, b=3$ and $c=2$
Work Step by Step
Given : $3x+2=4x^{2}$
Subtracting $4x^{2}$ from both sides, we obtain
$-4x^{2}+3x+2=4x^{2}-4x^{2}$
Or $-4x^{2}+3x+2=0$
Comparing $-4x^{2}+3x+2=0$ with $ax^{2}+bx+c$, we get
$a=-4, b=3$ and $c=2$