x^2-x*(0.27+0.25)+0.27-0.5=0

Solution for x^2-x*(0.27+0.25)+0.27-0.5=0 equation:

x^2-x(0.27+0.25)+0.27-0.5=0

We add all the numbers together, and all the variables

x^2-x(0.52)+0.27-0.5=0

We add all the numbers together, and all the variables

x^2-x(0.52)-0.23=0

We multiply parentheses

x^2-0.52x-0.23=0

a = 1; b = -0.52; c = -0.23;
Δ = b2-4ac
Δ = -0.522-4·1·(-0.23)
Δ = 1.1904
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{-(-0.52)-\sqrt{1.1904}}{2*1}=\frac{0.52-\sqrt{1.1904}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.52)+\sqrt{1.1904}}{2*1}=\frac{0.52+\sqrt{1.1904}}{2}
$