(3m-2)*m=44m^2

Solution for (3m-2)*m=44m^2 equation:

(3m-2)*m=44m^2

We move all terms to the left:

(3m-2)*m-(44m^2)=0

determiningTheFunctionDomain
-44m^2+(3m-2)*m=0

We multiply parentheses

-44m^2+3m^2-2m=0

We add all the numbers together, and all the variables

-41m^2-2m=0

a = -41; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·(-41)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2}{2*-41}=\frac{0}{-82}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2}{2*-41}=\frac{4}{-82}
=-2/41
$