2x/3x=5x/4x

Solution for 2x/3x=5x/4x equation:

2x/3x=5x/4x

We move all terms to the left:

2x/3x-(5x/4x)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



Domain of the equation: 4x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2x/3x-(+5x/4x)=0

We get rid of parentheses

2x/3x-5x/4x=0

We calculate fractions


(-15x^2)/12x^2+8x^2/12x^2=0

We multiply all the terms by the denominator


(-15x^2)+8x^2=0

We add all the numbers together, and all the variables

8x^2+(-15x^2)=0

We get rid of parentheses

8x^2-15x^2=0

We add all the numbers together, and all the variables

-7x^2=0

a = -7; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-7)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-14}=0$