(X+2)(x-2)=2-x

Solution for (X+2)(x-2)=2-x equation:

(X+2)(X-2)=2-X

We move all terms to the left:

(X+2)(X-2)-(2-X)=0

We add all the numbers together, and all the variables

(X+2)(X-2)-(-1X+2)=0

We use the square of the difference formula

X^2-(-1X+2)-4=0

We get rid of parentheses

X^2+1X-2-4=0

We add all the numbers together, and all the variables

X^2+X-6=0

a = 1; b = 1; c = -6;
Δ = b2-4ac
Δ = 12-4·1·(-6)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-5}{2*1}=\frac{-6}{2}
=-3
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+5}{2*1}=\frac{4}{2}
=2
$