2/v-5=6/3v-15

Solution for 2/v-5=6/3v-15 equation:

2/v-5=6/3v-15

We move all terms to the left:

2/v-5-(6/3v-15)=0


Domain of the equation: v!=0

v∈R



Domain of the equation: 3v-15)!=0

v∈R


We get rid of parentheses

2/v-6/3v+15-5=0

We calculate fractions


6v/3v^2+(-6v)/3v^2+15-5=0

We add all the numbers together, and all the variables

6v/3v^2+(-6v)/3v^2+10=0

We multiply all the terms by the denominator


6v+(-6v)+10*3v^2=0

Wy multiply elements

30v^2+6v+(-6v)=0

We get rid of parentheses

30v^2+6v-6v=0

We add all the numbers together, and all the variables

30v^2=0

a = 30; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·30·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$v=\frac{-b}{2a}=\frac{0}{60}=0$