3v^2+18v+14=-10

Solution for 3v^2+18v+14=-10 equation:

3v^2+18v+14=-10

We move all terms to the left:

3v^2+18v+14-(-10)=0

We add all the numbers together, and all the variables

3v^2+18v+24=0

a = 3; b = 18; c = +24;
Δ = b2-4ac
Δ = 182-4·3·24
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-6}{2*3}=\frac{-24}{6}
=-4
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+6}{2*3}=\frac{-12}{6}
=-2
$