5/6*n-3=5/8*n+7

Solution for 5/6*n-3=5/8*n+7 equation:

5/6*n-3=5/8*n+7

We move all terms to the left:

5/6*n-3-(5/8*n+7)=0


Domain of the equation: 6*n!=0

n!=0/1

n!=0

n∈R



Domain of the equation: 8*n+7)!=0

n∈R


We get rid of parentheses

5/6*n-5/8*n-7-3=0

We calculate fractions


(-30n^2)/384n^2+40n^2/384n^2-7-3=0

We add all the numbers together, and all the variables

(-30n^2)/384n^2+40n^2/384n^2-10=0

We multiply all the terms by the denominator


(-30n^2)+40n^2-10*384n^2=0

We add all the numbers together, and all the variables

40n^2+(-30n^2)-10*384n^2=0

Wy multiply elements

40n^2+(-30n^2)-3840n^2=0

We get rid of parentheses

40n^2-30n^2-3840n^2=0

We add all the numbers together, and all the variables

-3830n^2=0

a = -3830; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-3830)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$n=\frac{-b}{2a}=\frac{0}{-7660}=0$