  For any field $\mathbb{F}$ and all torison-free group $\mathbb{G}$, we prove
that if $ab = 0$ for some non-zero $a, b \in \mathbb{F}[\mathbb{G}]$ such that
$|supp(a)|$ $= 3$ and $a = 1 + \alpha_{1}g_{1} + \alpha_{2}g_{2}$, then $g_{1},
g_{2}$ satisfies certain relations in $\mathbb{G}$.
