(.167-x)(.167-x)=0

Solution for (.167-x)(.167-x)=0 equation:

(.167-x)(.167-x)=0

We add all the numbers together, and all the variables

(-1x+0.167)(-1x+0.167)=0

We multiply parentheses ..

(+x^2-0.167x-0.167x+0.027889)=0

We get rid of parentheses

x^2-0.167x-0.167x+0.027889=0

We add all the numbers together, and all the variables

x^2-0.334x+0.027889=0

a = 1; b = -0.334; c = +0.027889;
Δ = b2-4ac
Δ = -0.3342-4·1·0.027889
Δ = 1.3877787807814E-17
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{-(-0.334)-\sqrt{1.3877787807814E-17}}{2*1}=\frac{0.334-\sqrt{1.3877787807814E-17}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.334)+\sqrt{1.3877787807814E-17}}{2*1}=\frac{0.334+\sqrt{1.3877787807814E-17}}{2}
$