0.083-0.083x=x^2

Solution for 0.083-0.083x=x^2 equation:

0.083-0.083x=x^2

We move all terms to the left:

0.083-0.083x-(x^2)=0

determiningTheFunctionDomain
-x^2-0.083x+0.083=0

We add all the numbers together, and all the variables

-1x^2-0.083x+0.083=0

a = -1; b = -0.083; c = +0.083;
Δ = b2-4ac
Δ = -0.0832-4·(-1)·0.083
Δ = 0.338889
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{-(-0.083)-\sqrt{0.338889}}{2*-1}=\frac{0.083-\sqrt{0.338889}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.083)+\sqrt{0.338889}}{2*-1}=\frac{0.083+\sqrt{0.338889}}{-2}
$