384-(2x^2)/3=0

Solution for 384-(2x^2)/3=0 equation:

384-(2x^2)/3=0

We multiply all the terms by the denominator


-2x^2+384*3=0

We add all the numbers together, and all the variables

-2x^2+1152=0

a = -2; b = 0; c = +1152;
Δ = b2-4ac
Δ = 02-4·(-2)·1152
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*-2}=\frac{-96}{-4}
=+24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*-2}=\frac{96}{-4}
=-24
$