0,5x^2-2x+2=2

Solution for 0,5x^2-2x+2=2 equation:

0.5x^2-2x+2=2

We move all terms to the left:

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

We add all the numbers together, and all the variables

0.5x^2-2x=0

a = 0.5; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·0.5·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2}{2*0.5}=\frac{0}{1}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2}{2*0.5}=\frac{4}{1}
=4
$