0.15/x=x+210

Solution for 0.15/x=x+210 equation:

0.15/x=x+210

We move all terms to the left:

0.15/x-(x+210)=0


Domain of the equation: x!=0

x∈R


We get rid of parentheses

0.15/x-x-210=0

We multiply all the terms by the denominator


-x*x-210*x+0.15=0

We add all the numbers together, and all the variables

-210x-x*x+0.15=0

Wy multiply elements

-1x^2-210x+0.15=0

a = -1; b = -210; c = +0.15;
Δ = b2-4ac
Δ = -2102-4·(-1)·0.15
Δ = 44100.6
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{-(-210)-\sqrt{44100.6}}{2*-1}=\frac{210-\sqrt{44100.6}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-210)+\sqrt{44100.6}}{2*-1}=\frac{210+\sqrt{44100.6}}{-2}
$