2/5v=10;v=

Solution for 2/5v=10;v= equation:

2/5v=10v=

We move all terms to the left:

2/5v-(10v)=0


Domain of the equation: 5v!=0

v!=0/5

v!=0

v∈R


We add all the numbers together, and all the variables

-10v+2/5v=0

We multiply all the terms by the denominator


-10v*5v+2=0

Wy multiply elements

-50v^2+2=0

a = -50; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·(-50)·2
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20}{2*-50}=\frac{-20}{-100}
=1/5
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20}{2*-50}=\frac{20}{-100}
=-1/5
$