6y+6y*3y=12

Solution for 6y+6y*3y=12 equation:

6y+6y*3y=12

We move all terms to the left:

6y+6y*3y-(12)=0

Wy multiply elements

18y^2+6y-12=0

a = 18; b = 6; c = -12;
Δ = b2-4ac
Δ = 62-4·18·(-12)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-30}{2*18}=\frac{-36}{36}
=-1
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+30}{2*18}=\frac{24}{36}
=2/3
$