-105m=-49-14m^2

Solution for -105m=-49-14m^2 equation:

-105m=-49-14m^2

We move all terms to the left:

-105m-(-49-14m^2)=0

We get rid of parentheses

14m^2-105m+49=0

a = 14; b = -105; c = +49;
Δ = b2-4ac
Δ = -1052-4·14·49
Δ = 8281
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8281}=91$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-105)-91}{2*14}=\frac{14}{28}
=1/2
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-105)+91}{2*14}=\frac{196}{28}
=7
$