1-2/5750x=0.1+0.02x

Solution for 1-2/5750x=0.1+0.02x equation:

1-2/5750x=0.1+0.02x

We move all terms to the left:

1-2/5750x-(0.1+0.02x)=0


Domain of the equation: 5750x!=0

x!=0/5750

x!=0

x∈R


We add all the numbers together, and all the variables

-2/5750x-(0.02x+0.1)+1=0

We get rid of parentheses

-2/5750x-0.02x-0.1+1=0

We multiply all the terms by the denominator


-(0.02x)*5750x-(0.1)*5750x+1*5750x-2=0

We add all the numbers together, and all the variables

-(+0.02x)*5750x-(0.1)*5750x+1*5750x-2=0

We multiply parentheses

-0x^2-575x+1*5750x-2=0

Wy multiply elements

-0x^2-575x+5750x-2=0

We add all the numbers together, and all the variables

-1x^2+5175x-2=0

a = -1; b = 5175; c = -2;
Δ = b2-4ac
Δ = 51752-4·(-1)·(-2)
Δ = 26780617
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5175)-\sqrt{26780617}}{2*-1}=\frac{-5175-\sqrt{26780617}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5175)+\sqrt{26780617}}{2*-1}=\frac{-5175+\sqrt{26780617}}{-2}
$