7v^2-36v=36

Solution for 7v^2-36v=36 equation:

7v^2-36v=36

We move all terms to the left:

7v^2-36v-(36)=0

a = 7; b = -36; c = -36;
Δ = b2-4ac
Δ = -362-4·7·(-36)
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-48}{2*7}=\frac{-12}{14}
=-6/7
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+48}{2*7}=\frac{84}{14}
=6
$