102=3m*m

Solution for 102=3m*m equation:

102=3m*m

We move all terms to the left:

102-(3m*m)=0

We add all the numbers together, and all the variables

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

We get rid of parentheses

-3m*m+102=0

Wy multiply elements

-3m^2+102=0

a = -3; b = 0; c = +102;
Δ = b2-4ac
Δ = 02-4·(-3)·102
Δ = 1224
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:

$\sqrt{\Delta}=\sqrt{1224}=\sqrt{36*34}=\sqrt{36}*\sqrt{34}=6\sqrt{34}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{34}}{2*-3}=\frac{0-6\sqrt{34}}{-6}
=-\frac{6\sqrt{34}}{-6}
=-\frac{\sqrt{34}}{-1}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{34}}{2*-3}=\frac{0+6\sqrt{34}}{-6}
=\frac{6\sqrt{34}}{-6}
=\frac{\sqrt{34}}{-1}
$