-m(-19m)-12m=12m=-12

Solution for -m(-19m)-12m=12m=-12 equation:

-m(-19m)-12m=12m=-12

We move all terms to the left:

-m(-19m)-12m-(12m)=0

We add all the numbers together, and all the variables

-24m-m(-19m)=0

We multiply parentheses

19m^2-24m=0

a = 19; b = -24; c = 0;
Δ = b2-4ac
Δ = -242-4·19·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-24}{2*19}=\frac{0}{38}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+24}{2*19}=\frac{48}{38}
=1+5/19
$