6m^2-34m-180=0

Solution for 6m^2-34m-180=0 equation:

6m^2-34m-180=0

a = 6; b = -34; c = -180;
Δ = b2-4ac
Δ = -342-4·6·(-180)
Δ = 5476
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5476}=74$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-74}{2*6}=\frac{-40}{12}
=-3+1/3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+74}{2*6}=\frac{108}{12}
=9
$