Question 1074438
{{{(x+6)^2+(36/x+6)^2=400}}}

{{{(x+6)^2+(36/x+6x/x)^2=400}}}

{{{x^2(x+6)^2+(36+6x)^2=400x^2}}}
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{{{x^4+12x^3-328x^2+432x+1296=0}}}



You did not say how far you want to take this.  (just to simplified equation?)