0=-1600x^-2+x^2

Solution for 0=-1600x^-2+x^2 equation:

0=-1600x^-2+x^2

We move all terms to the left:

0-(-1600x^-2+x^2)=0

We add all the numbers together, and all the variables

-(-1600x^-2+x^2)=0

We get rid of parentheses

-x^2+1600x^+2=0

We add all the numbers together, and all the variables

-1x^2+1600x+2=0

a = -1; b = 1600; c = +2;
Δ = b2-4ac
Δ = 16002-4·(-1)·2
Δ = 2560008
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2560008}=\sqrt{4*640002}=\sqrt{4}*\sqrt{640002}=2\sqrt{640002}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1600)-2\sqrt{640002}}{2*-1}=\frac{-1600-2\sqrt{640002}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1600)+2\sqrt{640002}}{2*-1}=\frac{-1600+2\sqrt{640002}}{-2}
$