If the quotient of c and -19 is 38, we can write an equation dividing c and -19, and the result is 38:
[tex]\frac{c}{-19}=38[/tex]Now, solving this equation for c, we have:
[tex]\begin{gathered} c=-19\cdot38 \\ c=-722 \end{gathered}[/tex]So the value of c is -722.