3000=16x^2

Solution for 3000=16x^2 equation:

3000=16x^2

We move all terms to the left:

3000-(16x^2)=0

a = -16; b = 0; c = +3000;
Δ = b2-4ac
Δ = 02-4·(-16)·3000
Δ = 192000
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:

$\sqrt{\Delta}=\sqrt{192000}=\sqrt{6400*30}=\sqrt{6400}*\sqrt{30}=80\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80\sqrt{30}}{2*-16}=\frac{0-80\sqrt{30}}{-32}
=-\frac{80\sqrt{30}}{-32}
=-\frac{5\sqrt{30}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80\sqrt{30}}{2*-16}=\frac{0+80\sqrt{30}}{-32}
=\frac{80\sqrt{30}}{-32}
=\frac{5\sqrt{30}}{-2}
$