I have (289^2)+(-1666)+(2401)=(x^2-5)

then I, (289^2)+((-1666)+(2401))=(x^2-5)

then I have, (289^2)+(735)=(x^2-5) then subtract (x^2) and add 5 to both sides.

So now I have (288x^2)+740=0

So then, subtract 740 from both parts to get (288x^2)=-740

Finally do this -740/288=x^2, so x=(-2.5)^(1/2) which is imaginary. But the equation has only real solutions. But it looks like the answer was derived using all correct principles...?