0.6=x-32-0.04x/X

Solution for 0.6=x-32-0.04x/X equation:

0.6=x-32-0.04x/x

We move all terms to the left:

0.6-(x-32-0.04x/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(x-0.04x/x-32)+0.6=0

We get rid of parentheses

-x+0.04x/x+32+0.6=0

We multiply all the terms by the denominator


-x*x+0.04x+32*x+(0.6)*x=0

We add all the numbers together, and all the variables

32.04x-x*x+(0.6)*x=0

We multiply parentheses

32.04x-x*x+0.6x=0

Wy multiply elements

-1x^2+32.04x+0.6x=0

We add all the numbers together, and all the variables

-1x^2+32.64x=0

a = -1; b = 32.64; c = 0;
Δ = b2-4ac
Δ = 32.642-4·(-1)·0
Δ = 1065.3696
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{-(32.64)-\sqrt{1065.3696}}{2*-1}=\frac{-32.64-\sqrt{1065.3696}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32.64)+\sqrt{1065.3696}}{2*-1}=\frac{-32.64+\sqrt{1065.3696}}{-2}
$