x-2(5+x-2)=x^2

Solution for x-2(5+x-2)=x^2 equation:

x-2(5+x-2)=x^2

We move all terms to the left:

x-2(5+x-2)-(x^2)=0

determiningTheFunctionDomain
-x^2+x-2(5+x-2)=0

We add all the numbers together, and all the variables

-x^2+x-2(x+3)=0

We add all the numbers together, and all the variables

-1x^2+x-2(x+3)=0

We multiply parentheses

-1x^2+x-2x-6=0

We add all the numbers together, and all the variables

-1x^2-1x-6=0

a = -1; b = -1; c = -6;
Δ = b2-4ac
Δ = -12-4·(-1)·(-6)
Δ = -23
Delta is less than zero, so there is no solution for the equation