3g(g-8)=36

Solution for 3g(g-8)=36 equation:

3g(g-8)=36

We move all terms to the left:

3g(g-8)-(36)=0

We multiply parentheses

3g^2-24g-36=0

a = 3; b = -24; c = -36;
Δ = b2-4ac
Δ = -242-4·3·(-36)
Δ = 1008
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1008}=\sqrt{144*7}=\sqrt{144}*\sqrt{7}=12\sqrt{7}$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-12\sqrt{7}}{2*3}=\frac{24-12\sqrt{7}}{6}
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+12\sqrt{7}}{2*3}=\frac{24+12\sqrt{7}}{6}
$