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

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

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

We move all terms to the left:

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


Domain of the equation: 6n!=0

n!=0/6

n!=0

n∈R



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

n∈R


We get rid of parentheses

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

We calculate fractions


(-30n^2)/48n^2+40n^2/48n^2-7-3=0

We add all the numbers together, and all the variables

(-30n^2)/48n^2+40n^2/48n^2-10=0

We multiply all the terms by the denominator


(-30n^2)+40n^2-10*48n^2=0

We add all the numbers together, and all the variables

40n^2+(-30n^2)-10*48n^2=0

Wy multiply elements

40n^2+(-30n^2)-480n^2=0

We get rid of parentheses

40n^2-30n^2-480n^2=0

We add all the numbers together, and all the variables

-470n^2=0

a = -470; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-470)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$n=\frac{-b}{2a}=\frac{0}{-940}=0$