36/36^2v=216

Solution for 36/36^2v=216 equation:

36/36^2v=216

We move all terms to the left:

36/36^2v-(216)=0


Domain of the equation: 36^2v!=0

v!=0/1

v!=0

v∈R


We multiply all the terms by the denominator


-216*36^2v+36=0

Wy multiply elements

-7776v^2+36=0

a = -7776; b = 0; c = +36;
Δ = b2-4ac
Δ = 02-4·(-7776)·36
Δ = 1119744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1119744}=\sqrt{186624*6}=\sqrt{186624}*\sqrt{6}=432\sqrt{6}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-432\sqrt{6}}{2*-7776}=\frac{0-432\sqrt{6}}{-15552}
=-\frac{432\sqrt{6}}{-15552}
=-\frac{\sqrt{6}}{-36}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+432\sqrt{6}}{2*-7776}=\frac{0+432\sqrt{6}}{-15552}
=\frac{432\sqrt{6}}{-15552}
=\frac{\sqrt{6}}{-36}
$