Let's begin by listing out the information given to us:
[tex]\begin{gathered} \mleft(x-5\mright)\mleft(x+7\mright)=0 \\ x(x+7)-5(x+7)=0 \\ x^2+7x-5x-35=0 \\ x^2+2x-35=0 \\ \text{Factorise, we have:} \\ (x-5)(x+7)=0\Rightarrow(x-5)=0,(x+7)=0 \\ x-5=0,x+7=0 \\ x=5,x=-7 \\ \therefore x=5.0\text{ or -7}.0(\text{Tenth Place)} \end{gathered}[/tex]