How do you solve the quadratic $3+1/x=10/x^2$ using any method?

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Answer 1 · 2016-12-07T08:12:15

$x= -2$ or $+5/3$

$3+1/x=10/x^2$

Multiply through by $x^2 -> 3x^2+x=10$

$3x^2+x-10=0$

$(x+2)(3x-5)=0$

$x=$ either $-2$ or $+5/3$

How do you solve the quadratic 3+1/x=10/x^23+1/x=10/x^2 using any method?