x(x-1)=0.72

Solution for x(x-1)=0.72 equation:

x(x-1)=0.72

We move all terms to the left:

x(x-1)-(0.72)=0

We add all the numbers together, and all the variables

x(x-1)-0.72=0

We multiply parentheses

x^2-1x-0.72=0

a = 1; b = -1; c = -0.72;
Δ = b2-4ac
Δ = -12-4·1·(-0.72)
Δ = 3.88
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{-(-1)-\sqrt{3.88}}{2*1}=\frac{1-\sqrt{3.88}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{3.88}}{2*1}=\frac{1+\sqrt{3.88}}{2}
$