Answer:
[tex]\huge\boxed{(i)\ x=-3\ \vee\ x=4}\\\boxed{(ii)\ x=1.5\ \vee\ x=1}[/tex]
Step-by-step explanation:
We have the product of two expressions. The product is equal to 0 if and only if one of the factors is equal to 0.
Therefore
[tex](i)\\(x+3)(x-4)=0\iff x+3=0\ \vee\ x-4=0\\\\\boxed{x=-3\ \vee\ x=4}\\\\(ii)\\(2x-3)(x-1)=0\iff2x-3=0\ \vee\ x-1=0\\\\\boxed{x=1.5\ \vee\ x=1}[/tex]