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Solve by Factoring x^2-3x=0

Problem

x2−3*x=0

Solution

  1. Identify the greatest common factor (GCF) of the terms on the left side of the equation.

  2. Factor out the GCF, which is x from both terms.

x*(x−3)=0

  1. Apply the zero product property, which states that if a⋅b=0 then a=0 or b=0

x=0

x−3=0

  1. Solve the resulting linear equations for x

x=0

x=3

Final Answer

x=0,3


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