0=24x^2-2

Solution for 0=24x^2-2 equation:

0=24x^2-2

We move all terms to the left:

0-(24x^2-2)=0

We add all the numbers together, and all the variables

-(24x^2-2)=0

We get rid of parentheses

-24x^2+2=0

a = -24; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·(-24)·2
Δ = 192
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:

$\sqrt{\Delta}=\sqrt{192}=\sqrt{64*3}=\sqrt{64}*\sqrt{3}=8\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{3}}{2*-24}=\frac{0-8\sqrt{3}}{-48}
=-\frac{8\sqrt{3}}{-48}
=-\frac{\sqrt{3}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{3}}{2*-24}=\frac{0+8\sqrt{3}}{-48}
=\frac{8\sqrt{3}}{-48}
=\frac{\sqrt{3}}{-6}
$