2a^2=14400

Solution for 2a^2=14400 equation:

2a^2=14400

We move all terms to the left:

2a^2-(14400)=0

a = 2; b = 0; c = -14400;
Δ = b2-4ac
Δ = 02-4·2·(-14400)
Δ = 115200
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{115200}=\sqrt{57600*2}=\sqrt{57600}*\sqrt{2}=240\sqrt{2}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240\sqrt{2}}{2*2}=\frac{0-240\sqrt{2}}{4}
=-\frac{240\sqrt{2}}{4}
=-60\sqrt{2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240\sqrt{2}}{2*2}=\frac{0+240\sqrt{2}}{4}
=\frac{240\sqrt{2}}{4}
=60\sqrt{2}
$