Solve the given equation. If there are more than one solutions, separate them by a comma. Enter your answer(s) as an integer or a reduced fraction. Do not use decimals.

5x(3x+1)+4(3x+1)=0\displaystyle {5}{x}{\left({3}{x}+{1}\right)}+{4}{\left({3}{x}+{1}\right)}={0}

x=\displaystyle {x}=