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

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Solution for (X-1)(x-2)=(x-2)(x+2) equation: 



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

We move all terms to the left:

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

We use the square of the difference formula

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

We multiply parentheses ..

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

We get rid of parentheses

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

We add all the numbers together, and all the variables

2X^2-3X+6=0

a = 2; b = -3; c = +6;
Δ = b2-4ac
Δ = -32-4·2·6
Δ = -39
Delta is less than zero, so there is no solution for the equation

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