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The problem

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I dont understand this 3(x-x^2+1) just become x-x^2+1 without multiplying the 3.

Answer provided by our tutors

An image of what is taking place is shown below.  For any equation, both sides should be operated on exactly the same.  For example, multiplying both sides by '3' ensures that the equation is a legal equation.  For the problem "3(x-x^2+1)=0" both sides may be divided by 3, giving '3/3=1' on the left side and '3/0=0' on the right side:

(x=x^2+1)=0

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