9g=-24g^2+15

Solution for 9g=-24g^2+15 equation:

9g=-24g^2+15

We move all terms to the left:

9g-(-24g^2+15)=0

We get rid of parentheses

24g^2+9g-15=0

a = 24; b = 9; c = -15;
Δ = b2-4ac
Δ = 92-4·24·(-15)
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-39}{2*24}=\frac{-48}{48}
=-1
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+39}{2*24}=\frac{30}{48}
=5/8
$