Solve for x 3x^2-6x=0

Problem

3*x2−6*x=0

Solution

1. Identify the common factors in both terms of the quadratic equation.

2. Factor out the greatest common factor, which is 3*x

3*x*(x−2)=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.

3*x=0

x−2=0

4. Solve each linear equation for x

x=0

x=2

Final Answer

x=0,2

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