384=3x*2x/2

Solution for 384=3x*2x/2 equation:

384=3x*2x/2

We move all terms to the left:

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

We add all the numbers together, and all the variables

-(+3x*2x/2)+384=0

We get rid of parentheses

-3x*2x/2+384=0

We multiply all the terms by the denominator


-3x*2x+384*2=0

We add all the numbers together, and all the variables

-3x*2x+768=0

Wy multiply elements

-6x^2+768=0

a = -6; b = 0; c = +768;
Δ = b2-4ac
Δ = 02-4·(-6)·768
Δ = 18432
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:

$\sqrt{\Delta}=\sqrt{18432}=\sqrt{9216*2}=\sqrt{9216}*\sqrt{2}=96\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96\sqrt{2}}{2*-6}=\frac{0-96\sqrt{2}}{-12}
=-\frac{96\sqrt{2}}{-12}
=-\frac{8\sqrt{2}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96\sqrt{2}}{2*-6}=\frac{0+96\sqrt{2}}{-12}
=\frac{96\sqrt{2}}{-12}
=\frac{8\sqrt{2}}{-1}
$