x(x-0.125)=0.72

Solution for x(x-0.125)=0.72 equation:

x(x-0.125)=0.72

We move all terms to the left:

x(x-0.125)-(0.72)=0

We add all the numbers together, and all the variables

x(x-0.125)-0.72=0

We multiply parentheses

x^2-0.125x-0.72=0

a = 1; b = -0.125; c = -0.72;
Δ = b2-4ac
Δ = -0.1252-4·1·(-0.72)
Δ = 2.895625
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{-(-0.125)-\sqrt{2.895625}}{2*1}=\frac{0.125-\sqrt{2.895625}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.125)+\sqrt{2.895625}}{2*1}=\frac{0.125+\sqrt{2.895625}}{2}
$