(6*y+6)*y=3024

Solution for (6*y+6)*y=3024 equation:

(6y+6)*y=3024

We move all terms to the left:

(6y+6)*y-(3024)=0

We multiply parentheses

6y^2+6y-3024=0

a = 6; b = 6; c = -3024;
Δ = b2-4ac
Δ = 62-4·6·(-3024)
Δ = 72612
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{72612}=\sqrt{36*2017}=\sqrt{36}*\sqrt{2017}=6\sqrt{2017}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6\sqrt{2017}}{2*6}=\frac{-6-6\sqrt{2017}}{12}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6\sqrt{2017}}{2*6}=\frac{-6+6\sqrt{2017}}{12}
$