Solve by Factoring x^2-5x=0

Problem

x2−5*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−5)=0

3. Apply the Zero Product Property, which states that if a⋅b=0 then a=0 or b=0

x=0

x−5=0

4. Solve the resulting linear equations for x

x=0

x=5

Final Answer

x=0,5

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