(x-1)^2=2(x^2-1)

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Solution for (x-1)^2=2(x^2-1) equation: 



(x-1)^2=2(x^2-1)

We move all terms to the left:

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



We calculate terms in parentheses: -(2(x^2-1)), so:

2(x^2-1)

We multiply parentheses

2x^2-2

Back to the equation:

-(2x^2-2)



We get rid of parentheses

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

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

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

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