96=24x^2

Solution for 96=24x^2 equation:

96=24x^2

We move all terms to the left:

96-(24x^2)=0

a = -24; b = 0; c = +96;
Δ = b2-4ac
Δ = 02-4·(-24)·96
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*-24}=\frac{-96}{-48}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*-24}=\frac{96}{-48}
=-2
$