2/5v=10,v=25

Solution for 2/5v=10,v=25 equation:

2/5v=10.v=25

We move all terms to the left:

2/5v-(10.v)=0


Domain of the equation: 5v!=0

v!=0/5

v!=0

v∈R


We add all the numbers together, and all the variables

2/5v-(+10.v)=0

We get rid of parentheses

2/5v-10.v=0

We multiply all the terms by the denominator


-(10.v)*5v+2=0

We add all the numbers together, and all the variables

-(+10.v)*5v+2=0

We multiply parentheses

-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
$