(x-31)x=0.05

Solution for (x-31)x=0.05 equation:

(x-31)x=0.05

We move all terms to the left:

(x-31)x-(0.05)=0

We add all the numbers together, and all the variables

(x-31)x-0.05=0

We multiply parentheses

x^2-31x-0.05=0

a = 1; b = -31; c = -0.05;
Δ = b2-4ac
Δ = -312-4·1·(-0.05)
Δ = 961.2
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{-(-31)-\sqrt{961.2}}{2*1}=\frac{31-\sqrt{961.2}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+\sqrt{961.2}}{2*1}=\frac{31+\sqrt{961.2}}{2}
$