4/x-2=4/2-5x

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

4/x-2=4/2-5x

We move all terms to the left:

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


Domain of the equation: x!=0

x∈R



Domain of the equation: 2-5x)!=0

We move all terms containing x to the left, all other terms to the right

-5x)!=-2

x!=-2/1

x!=-2

x∈R


We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We multiply all the terms by the denominator


5x*x-2*x-2*x+4=0

We add all the numbers together, and all the variables

-4x+5x*x+4=0

Wy multiply elements

5x^2-4x+4=0

a = 5; b = -4; c = +4;
Δ = b2-4ac
Δ = -42-4·5·4
Δ = -64
Delta is less than zero, so there is no solution for the equation