Question Number 1358 by tabrez8590@gmail last updated on 25/Jul/15
$${solve} \\ $$$${x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{6} \\ $$
Commented by Rasheed Soomro last updated on 25/Jul/15
$${x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{6}=? \\ $$
Answered by a@b.c last updated on 25/Jul/15
$$={x}^{\mathrm{2}} +\mathrm{3}{x}+\mathrm{2}{x}+\mathrm{6} \\ $$$$={x}\left({x}+\mathrm{3}\right)+\mathrm{2}\left({x}+\mathrm{3}\right) \\ $$$$=\left({x}+\mathrm{3}\right)\left({x}+\mathrm{2}\right) \\ $$$$\mathrm{If}\:{x}^{\mathrm{2}} +\mathrm{5}{x}+\mathrm{6}=\mathrm{0} \\ $$$$\left({x}+\mathrm{3}\right)\left({x}+\mathrm{2}\right)=\mathrm{0}\Rightarrow{x}=−\mathrm{3}\:{or}\:{x}=−\mathrm{2} \\ $$