Factorise:

$\frac{3}{2} x^{2}+16 x+10=\frac{3}{2} x^{2}+15 x+x+10$

$=3 x\left(\frac{1}{2} x+5\right)+1(x+10)$

$=\frac{3}{2} x(x+10)+1(x+10)$

$=(x+10)\left(\frac{3}{2} x+1\right)$

Hence, factorisation of $\frac{3}{2} x^{2}+16 x+10$ is $(x+10)\left(\frac{3}{2} x+1\right)$