X(x-1)=X2-2(x-2)

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Solution for X(x-1)=X2-2(x-2) equation: 



X(X-1)=X2-2(X-2)

We move all terms to the left:

X(X-1)-(X2-2(X-2))=0

We multiply parentheses

X^2-1X-(X2-2(X-2))=0



We calculate terms in parentheses: -(X2-2(X-2)), so:

X2-2(X-2)

We add all the numbers together, and all the variables

X^2-2(X-2)

We multiply parentheses

X^2-2X+4

Back to the equation:

-(X^2-2X+4)



We get rid of parentheses

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

We add all the numbers together, and all the variables

X-4=0

We move all terms containing X to the left, all other terms to the right

X=4

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