Question

How to factor (x+11)x(x-5)=0

Answer 1

`(x+11)x(x-5)=0 \\\\[-0.35em] ~\dotfill\\\\ (x+11)x(x-5)=0\implies x=\cfrac{0}{(x+11)(x-5)}\implies x=0 \\\\[-0.35em] ~\dotfill\\\\ (x+11)x(x-5)=0\implies x-5=\cfrac{0}{(x+11)x}\implies x-5=0\implies x=5 \\\\[-0.35em] ~\dotfill\\\\ (x+11)x(x-5)=0\implies x+11=\cfrac{0}{x(x-5)}\implies x+11=0\implies x=-11 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill x= \begin{cases} 0\\ 5\\ -11 \end{cases}~\hfill`