1/2x+5=2/4x+1

Solution for 1/2x+5=2/4x+1 equation:

1/2x+5=2/4x+1

We move all terms to the left:

1/2x+5-(2/4x+1)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



Domain of the equation: 4x+1)!=0

x∈R


We get rid of parentheses

1/2x-2/4x-1+5=0

We calculate fractions


4x/8x^2+(-4x)/8x^2-1+5=0

We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


4x+(-4x)+4*8x^2=0

Wy multiply elements

32x^2+4x+(-4x)=0

We get rid of parentheses

32x^2+4x-4x=0

We add all the numbers together, and all the variables

32x^2=0

a = 32; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·32·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{64}=0$