Solve the equation in the complex number system:

 7c(4c9)11+3(4c9)10=0\displaystyle {7}{c}{\left(-{4}{c}-{9}\right)}^{{11}}+{3}{\left(-{4}{c}-{9}\right)}^{{10}}={0} 

 c={\displaystyle {c}={\lbrace} }\displaystyle {\rbrace} 

If there are multiple solutions, separate them with a comma.