24m^2-36m-324=0

Solution for 24m^2-36m-324=0 equation:

24m^2-36m-324=0

a = 24; b = -36; c = -324;
Δ = b2-4ac
Δ = -362-4·24·(-324)
Δ = 32400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32400}=180$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-180}{2*24}=\frac{-144}{48}
=-3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+180}{2*24}=\frac{216}{48}
=4+1/2
$