/x-0.2x=233

Solution for /x-0.2x=233 equation:

/x-0.2x=233

We move all terms to the left:

/x-0.2x-(233)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-0.2x+/x-233=0

We multiply all the terms by the denominator


-(0.2x)*x-233*x+=0

We add all the numbers together, and all the variables

-(+0.2x)*x-233*x+=0

We add all the numbers together, and all the variables

-233x-(+0.2x)*x=0

We multiply parentheses

-0x^2-233x=0

We add all the numbers together, and all the variables

-1x^2-233x=0

a = -1; b = -233; c = 0;
Δ = b2-4ac
Δ = -2332-4·(-1)·0
Δ = 54289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{54289}=233$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-233)-233}{2*-1}=\frac{0}{-2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-233)+233}{2*-1}=\frac{466}{-2}
=-233
$