4/9v=36;v=81

Solution for 4/9v=36;v=81 equation:

4/9v=36v=81

We move all terms to the left:

4/9v-(36v)=0


Domain of the equation: 9v!=0

v!=0/9

v!=0

v∈R


We add all the numbers together, and all the variables

-36v+4/9v=0

We multiply all the terms by the denominator


-36v*9v+4=0

Wy multiply elements

-324v^2+4=0

a = -324; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-324)·4
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72}{2*-324}=\frac{-72}{-648}
=1/9
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72}{2*-324}=\frac{72}{-648}
=-1/9
$