24g2+30g-9=0

Solution for 24g2+30g-9=0 equation:

24g^2+30g-9=0

a = 24; b = 30; c = -9;
Δ = b2-4ac
Δ = 302-4·24·(-9)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-42}{2*24}=\frac{-72}{48}
=-1+1/2
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+42}{2*24}=\frac{12}{48}
=1/4
$