Find the set of points twice as far away from one point than another

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Find the equation of the locus of points that are twice as far from the point $(2, 0)$ as they are from $(5, 0)$.

So from my understanding its the set of all $(x,y)$ such that

$$2\sqrt{(x-2)^2+y^2}=\sqrt{(x-5)^2+y^2}$$

But (solving for $y$) this is not the correct answer.