32000=x^2

Solution for 32000=x^2 equation:

32000=x^2

We move all terms to the left:

32000-(x^2)=0

We add all the numbers together, and all the variables

-1x^2+32000=0

a = -1; b = 0; c = +32000;
Δ = b2-4ac
Δ = 02-4·(-1)·32000
Δ = 128000
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:

$\sqrt{\Delta}=\sqrt{128000}=\sqrt{25600*5}=\sqrt{25600}*\sqrt{5}=160\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-160\sqrt{5}}{2*-1}=\frac{0-160\sqrt{5}}{-2}
=-\frac{160\sqrt{5}}{-2}
=-\frac{80\sqrt{5}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+160\sqrt{5}}{2*-1}=\frac{0+160\sqrt{5}}{-2}
=\frac{160\sqrt{5}}{-2}
=\frac{80\sqrt{5}}{-1}
$