6y2+9y=6

Solution for 6y2+9y=6 equation:

6y^2+9y=6

We move all terms to the left:

6y^2+9y-(6)=0

a = 6; b = 9; c = -6;
Δ = b2-4ac
Δ = 92-4·6·(-6)
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-15}{2*6}=\frac{-24}{12}
=-2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+15}{2*6}=\frac{6}{12}
=1/2
$