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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]

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