Abstract
<abstract><p>It was demonstrated by Bibi and Edjvet in <sup>[<xref ref-type="bibr" rid="b1">1</xref>]</sup> that any equation with a length of at most seven over torsion-free group can be solvable. This corroborates Levin's <sup>[<xref ref-type="bibr" rid="b2">2</xref>]</sup> assertion that any equation over a torsion-free group is solvable. It is demonstrated in this article that a singular equation of length eight over torsion-free groups is solvable.</p></abstract>
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