5/x=10/2x-1

Solution for 5/x=10/2x-1 equation:

5/x=10/2x-1

We move all terms to the left:

5/x-(10/2x-1)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: 2x-1)!=0

x∈R


We get rid of parentheses

5/x-10/2x+1=0

We calculate fractions


10x/2x^2+(-10x)/2x^2+1=0

We multiply all the terms by the denominator


10x+(-10x)+1*2x^2=0

Wy multiply elements

2x^2+10x+(-10x)=0

We get rid of parentheses

2x^2+10x-10x=0

We add all the numbers together, and all the variables

2x^2=0

a = 2; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·2·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{4}=0$