The first pair of terms has a GCF x and the second pair has a GCF 6. After these are factored out, there are two terms with a common factor of $\displaystyle{\left({x}+{5}\right)}\usepackage{cmbright}\Huge\$ . Factor out the common factor $\displaystyle{\left({x}+{5}\right)}\usepackage{cmbright}\Huge\$ :

$\displaystyle{{x}}^{{2}}+{5}{x}+{6}{x}+{30}={x}{\left({x}+{5}\right)}+{6}{\left({x}+{5}\right)}={\left({x}+{5}\right)}{\left({x}+{6}\right)}\usepackage{cmbright}\Huge\$