6y+4y^2=-2

Solution for 6y+4y^2=-2 equation:

6y+4y^2=-2

We move all terms to the left:

6y+4y^2-(-2)=0

We add all the numbers together, and all the variables

4y^2+6y+2=0

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

$\sqrt{\Delta}=\sqrt{4}=2$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2}{2*4}=\frac{-8}{8}
=-1
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2}{2*4}=\frac{-4}{8}
=-1/2
$