4/x+7=8/2x

Solution for 4/x+7=8/2x equation:

4/x+7=8/2x

We move all terms to the left:

4/x+7-(8/2x)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

4/x-(+8/2x)+7=0

We get rid of parentheses

4/x-8/2x+7=0

We calculate fractions


8x/2x^2+(-8x)/2x^2+7=0

We multiply all the terms by the denominator


8x+(-8x)+7*2x^2=0

Wy multiply elements

14x^2+8x+(-8x)=0

We get rid of parentheses

14x^2+8x-8x=0

We add all the numbers together, and all the variables

14x^2=0

a = 14; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·14·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{28}=0$