3m*2m*2=102

Solution for 3m*2m*2=102 equation:

3m*2m*2=102

We move all terms to the left:

3m*2m*2-(102)=0

Wy multiply elements

12m^2*2-102=0

Wy multiply elements

24m^2-102=0

a = 24; b = 0; c = -102;
Δ = b2-4ac
Δ = 02-4·24·(-102)
Δ = 9792
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{9792}=\sqrt{576*17}=\sqrt{576}*\sqrt{17}=24\sqrt{17}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{17}}{2*24}=\frac{0-24\sqrt{17}}{48}
=-\frac{24\sqrt{17}}{48}
=-\frac{\sqrt{17}}{2}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{17}}{2*24}=\frac{0+24\sqrt{17}}{48}
=\frac{24\sqrt{17}}{48}
=\frac{\sqrt{17}}{2}
$