18m^2-12m-30=0

Solution for 18m^2-12m-30=0 equation:

18m^2-12m-30=0

a = 18; b = -12; c = -30;
Δ = b2-4ac
Δ = -122-4·18·(-30)
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-48}{2*18}=\frac{-36}{36}
=-1
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+48}{2*18}=\frac{60}{36}
=1+2/3
$