The GCF of the first two terms is 2x and the GCF of the last two terms is 3. Factor those out. The resulting terms have a common factor $\displaystyle{\left({2}{x}+{5}\right)}\usepackage{cmbright}\Huge\$ .

$\displaystyle{2}{{x}}^{{2}}+{10}{x}+{3}{x}+{15}={2}{x}{\left({x}+{5}\right)}+{3}{\left({x}+{5}\right)}={\left({x}+{5}\right)}{\left({2}{x}+{3}\right)}\usepackage{cmbright}\Huge\$