Solve for x x^2-x=0

Problem

x2−x=0

Solution

1. Identify the common factor in the terms on the left side of the equation.

2. Factor out the greatest common factor, which is x

x*(x−1)=0

3. Apply the zero product property, which states that if the product of two factors is zero, at least one of the factors must be zero.

x=0

x−1=0

4. Solve the resulting linear equations for x

x=0

x=1

Final Answer

x=0,1

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