-7v-2=3v2

Solution for -7v-2=3v2 equation:

-7v-2=3v^2

We move all terms to the left:

-7v-2-(3v^2)=0

determiningTheFunctionDomain
-3v^2-7v-2=0

a = -3; b = -7; c = -2;
Δ = b2-4ac
Δ = -72-4·(-3)·(-2)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-5}{2*-3}=\frac{2}{-6}
=-1/3
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+5}{2*-3}=\frac{12}{-6}
=-2
$