(a-2)*a+a+3=3

Solution for (a-2)*a+a+3=3 equation:

(a-2)*a+a+3=3

We move all terms to the left:

(a-2)*a+a+3-(3)=0

We add all the numbers together, and all the variables

a+(a-2)*a=0

We multiply parentheses

a^2+a-2a=0

We add all the numbers together, and all the variables

a^2-1a=0

a = 1; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·1·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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