y(12y+6)=36

Solution for y(12y+6)=36 equation:

y(12y+6)=36

We move all terms to the left:

y(12y+6)-(36)=0

We multiply parentheses

12y^2+6y-36=0

a = 12; b = 6; c = -36;
Δ = b2-4ac
Δ = 62-4·12·(-36)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-42}{2*12}=\frac{-48}{24}
=-2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+42}{2*12}=\frac{36}{24}
=1+1/2
$