6m^2-6m+5m-14=0

Solution for 6m^2-6m+5m-14=0 equation:

6m^2-6m+5m-14=0

We add all the numbers together, and all the variables

6m^2-1m-14=0

a = 6; b = -1; c = -14;
Δ = b2-4ac
Δ = -12-4·6·(-14)
Δ = 337
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{337}}{2*6}=\frac{1-\sqrt{337}}{12}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{337}}{2*6}=\frac{1+\sqrt{337}}{12}
$