The equation is given as
[tex](x-3)(x+2)=0[/tex]This means that
[tex]\begin{gathered} x-3=0 \\ or \\ x+2=0 \end{gathered}[/tex]Solving each equation to get a value for x
[tex]\begin{gathered} x=3 \\ or \\ x=-2 \end{gathered}[/tex]Therefore, the solution to the equation is x = 3 or x = -2