x*2x*3=48

Solution for x*2x*3=48 equation:

x*2x*3=48

We move all terms to the left:

x*2x*3-(48)=0

Wy multiply elements

6x^2*3-48=0

Wy multiply elements

18x^2-48=0

a = 18; b = 0; c = -48;
Δ = b2-4ac
Δ = 02-4·18·(-48)
Δ = 3456
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:

$\sqrt{\Delta}=\sqrt{3456}=\sqrt{576*6}=\sqrt{576}*\sqrt{6}=24\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{6}}{2*18}=\frac{0-24\sqrt{6}}{36}
=-\frac{24\sqrt{6}}{36}
=-\frac{2\sqrt{6}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{6}}{2*18}=\frac{0+24\sqrt{6}}{36}
=\frac{24\sqrt{6}}{36}
=\frac{2\sqrt{6}}{3}
$