6v2+66v=72

Solution for 6v2+66v=72 equation:

6v^2+66v=72

We move all terms to the left:

6v^2+66v-(72)=0

a = 6; b = 66; c = -72;
Δ = b2-4ac
Δ = 662-4·6·(-72)
Δ = 6084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6084}=78$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(66)-78}{2*6}=\frac{-144}{12}
=-12
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(66)+78}{2*6}=\frac{12}{12}
=1
$