(22/x)*x=(100/0.4)*x

Solution for (22/x)*x=(100/0.4)*x equation:

(22/x)*x=(100/0.4)*x

We move all terms to the left:

(22/x)*x-((100/0.4)*x)=0


Domain of the equation: x)*x!=0

x!=0/1

x!=0

x∈R



Domain of the equation: 0.4)*x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+22/x)*x-(250*x)=0

We multiply parentheses

22x^2-(250*x)=0

We get rid of parentheses

22x^2-250*x=0

We add all the numbers together, and all the variables

22x^2-250x=0

a = 22; b = -250; c = 0;
Δ = b2-4ac
Δ = -2502-4·22·0
Δ = 62500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{62500}=250$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-250)-250}{2*22}=\frac{0}{44}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-250)+250}{2*22}=\frac{500}{44}
=11+4/11
$