Answer:
Zero Product Property
Step-by-step explanation:
According to the zero product property,
If [tex]A\times B=0[/tex], then either;
[tex]A=0[/tex]
Or
[tex]B=0[/tex]
So that the product;
[tex]0\times B=0[/tex] or [tex]A\times 0=0[/tex] holds.
So if we have
[tex]2x(x-50)=0[/tex]
Then we can apply the zero product principle, to obtain
[tex]2x=0,x-50=0[/tex]
[tex]\Rightarrow x=0,x=50[/tex]