30m^2+72m-54=0

Solution for 30m^2+72m-54=0 equation:

30m^2+72m-54=0

a = 30; b = 72; c = -54;
Δ = b2-4ac
Δ = 722-4·30·(-54)
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(72)-108}{2*30}=\frac{-180}{60}
=-3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(72)+108}{2*30}=\frac{36}{60}
=3/5
$