1600=18x^2

Solution for 1600=18x^2 equation:

1600=18x^2

We move all terms to the left:

1600-(18x^2)=0

a = -18; b = 0; c = +1600;
Δ = b2-4ac
Δ = 02-4·(-18)·1600
Δ = 115200
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:

$\sqrt{\Delta}=\sqrt{115200}=\sqrt{57600*2}=\sqrt{57600}*\sqrt{2}=240\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240\sqrt{2}}{2*-18}=\frac{0-240\sqrt{2}}{-36}
=-\frac{240\sqrt{2}}{-36}
=-\frac{20\sqrt{2}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240\sqrt{2}}{2*-18}=\frac{0+240\sqrt{2}}{-36}
=\frac{240\sqrt{2}}{-36}
=\frac{20\sqrt{2}}{-3}
$